Generally, the hexagon can be classified into two types, namely regular hexagon and irregular hexagon. The interior angles of Hexagon are of 120 degrees each and the sum of all angles of a Hexagon is 720 degrees. Look familiar?? We must calculate the perimeter using the side length and the equation , where is the side length. misrepresent that a product or activity is infringing your copyrights. circle area Sc . We know that each triangle has two two sides that are equal; therefore, each of the base angles of each triangle must be the same. Formula of regular hexagon is = 3√3/ 2 x s. If the base length is 2 cm and apothem height is 8 cm, then find the area of the hexagon. Write a Java program to compute the area of a hexagon. The area of Hexagon formula is given by. Pro Lite, CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. Alternatively, the area can be found by calculating one-half of the side length times the apothem. a If Varsity Tutors takes action in response to Now, we can use this vital information to solve for the hexagon's area. What’s the area of the cell to the nearest tenth of a centimeter? It is a polygon with 6 sides, 6 angles and 6 vertices. A hexagon is Solution: Formula of regular hexagon = (3/2) × s × h, Here apothem height is given so we need to multiply it by 2 and substituting the value in the above formula, we get. In a similar fashion, each of the triangles have the same angles. area ratio Sp/Sc Customer Voice. Some shapes are found all across nature, and the hexagon is one of these. Track your scores, create tests, and take your learning to the next level! Second area of regular hexagon formula is given by: Area of Hexagon = 3/2 x s x h The adjacent edges form an angle of 120°. With that in mind, we look at the right triangle. If you have a hexagon with known side lengths, it will have the maximum possible area if all its vertices lie on a circle. Round to the nearest tenth of a centimeter. Find the area of one triangle. Send your complaint to our designated agent at: Charles Cohn 101 S. Hanley Rd, Suite 300 University of North Florida, Bachelor in Arts, Special Education. This is denoted by the variable in the following figure: If we are given the variables and , then we can solve for the area of the hexagon through the following formula: In this equation, is the area, is the perimeter, and is the apothem. (Read more: How to find area of a hexagon in Maths?) The area of a polygon is the total space enclosed within the shape. Let's start by splitting the hexagon into six triangles. Formula of regular hexagon = (3/2) × s × h, Diseases- Types of Diseases and Their Symptoms, Vedantu The perimeter is the sum of lengths of the sides. If we know the side length of a regular hexagon, then we can solve for the area. Varsity Tutors LLC Second area of regular hexagon formula is given by: Where “s” is the length of each side and “h” is the height of the hexagon when it is made to lie on one of the bases of it. How do you find the area of a hexagon? or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing There are several ways to find the area of a hexagon. A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe 1. Finding the Area of a Regular Hexagon with Side Length 7. We know the measure of both the base and height of and we can solve for its area. The area of the regular polygon is given by. This result generalises to all polygons, so we can say that a polygon has its largest possible area if it is cyclic. A = [r 2 n sin(360/n)]/2 Square units. Calculates the side length and area of the regular polygon inscribed to a circle. This is because the radius of this diameter equals the interior side length of the equilateral triangles in the honeycomb. If the circum-radius “r” of the regular polygon is given, then. Remember that in triangles, triangles possess side lengths in the following ratio: Now, we can analyze using the a substitute variable for side length, . Area … Let's substitute this value into the area formula for a regular hexagon and solve. In a regular hexagon, split the figure into triangles. Hexagon. An equilateral hexagon has sides of length 6, what is it's area? Hexagon Hexagon is a regular polygon having six equal sides and all equal angles. Pro Lite, NEET In a regular hexagon, split the figure into triangles which are equilateral triangles. Maximum hexagon area. as Infringement Notice, it will make a good faith attempt to contact the party that made such content available by The result is rather elegantly proved here. State some of the popular polygons along with its number of sides and Measure of Interior Angles. Enter any 1 variable plus the number of sides or the polygon name. A regular hexagon can be divided into 12 30-60-90 right triangles with hypotenuse equal to the length of half of a diagonal, or 6 in this case (see image). This method only works for … A regular hexagon is a polygon with six edges of equal length. where “s” denotes the sides of the hexagon. Formula for the Area of a Hexagon. Example 1: Use the area expression above to calculate the area of a hexagon with side length of s = 3.00cm and a height of h = 2.60cm for comparison with method 2 later. Find the area of a regular hexagon with side lengths of . The area of a triangle is . In a regular hexagon, split the figure into triangles. either the copyright owner or a person authorized to act on their behalf. A two-dimensional closed figure bounded with three or more than three straight lines is called a polygon. The measurement is done in square units. We now know that all the triangles are congruent and equilateral: each triangle has three equal side lengths and three equal angles. Pro Subscription, JEE Triangles, square, rectangle, pentagon, hexagon, are some examples of polygons. Solution: Given that, Hexagon apothem = 10√3 cm. Segments that share a vertex are called adjacent sides. As we know, a polygon can be regular or irregular. For finding the area of hexagon, we are given only the length of its diagonal i.e d. The interior angles of Hexagon are of 120 degrees each and the sum of all angles of a Hexagon is 720 degrees. The area of Hexagon is given by. Just enter the coordinates. ChillingEffects.org. link to the specific question (not just the name of the question) that contains the content and a description of You may divide it into 6 equilateral triangles or two triangles and one rectangle.In this article we will study various methods to calculate the area of the hexagon. One way to find the area of a regular hexagon is by first dividing it into equilateral triangles. Lets find the side length of the regular hexagon/honeycomb. After multiplying this area by six (because we have 6 triangles), we get the hexagon area formula: A = 6 * A₀ = 6 * √3/4 * a². Since all of the angles are 60 degrees, it is an equilateral triangle. Find the area of a regular hexagon with a side length of . To find the area of a regular polygon, you use an apothem — a segment that joins the polygon’s center to the midpoint of any side and that is perpendicular to that side (segment HM in the following figure is an apothem). as well. Area calculator See Polygon area calculator for a pre-programmed calculator that does the arithmetic for you. There are two simple formulas for finding area of a regular hexagon. ), which is the length of a line drawn from the center of the polygon to the right angle of any side. Hexagons are six sided figures and possess the following shape: In a regular hexagon, all sides equal the same length and all interior angles have the same measure; therefore, we can write the following expression. In a similar fashion, each of the triangles have the same angles. an Limitations This method will produce the wrong answer for self-intersecting polygons, where one side crosses over another, as shown on the right. Now, we can use this vital information to solve for the hexagon's area. Multiply this value by six. Likewise, all of the triangles within the hexagon are congruent by the side-side-side rule: each of the triangle's share two sides inside the hexagon as well as a base side that makes up the perimeter of the hexagon. What is Meant by the Area of a Hexagon? the What is the area of a regular hexagon, each of whose sides measure 6cm? A regular hexagon has Schläfli symbol {6} and can also be constructed as a truncated equilateral triangle, t{3}, which alternates two types of edges. We have solved for the area of a regular hexagon with side length, . 3600 in a circle and the hexagon in our image has separated it into six equal parts; therefore, we can write the following: Now, let's look at each of the triangles in the hexagon. The exterior angle is measured as 60-degree in case of the regular hexagon and the interior angle is measured as 120-degree. Where A₀ means the area of each of the equilateral triangles in which we have divided the hexagon. There are several ways to find the area of a hexagon. We know that a triangle has 180 and we can solve for the two base angles of each triangle using this information. With the help of the community we can continue to A segment whose endpoints are nonadjacent vertices is called a diagonal. The 30-60-90 and 45-45-90 right triangles appear often, so it's worth it to remember the shortcuts to the Pythagorean Theorem so you don't have to do the calculations every time. If the innermost angle is 60 degrees, and the fact that it is a regular hexagon, we can therefore state that the other two angles are. A regular hexagon Regular Hexagon is a six sided polygon where all of … In figure 1 you can see that all the shapes are polygons, as all the shapes are drawn joining the straight lines only. As a result, the six dotted lines within the hexagon are the same length. Finding the Area of a Regular Hexagon with Side Length 7. Area of a circumscribed polygon. There are. If “n” is the number of sides of a polygon, and “s” is the side length of the polygon, then. Area and Perimeter of a Hexagon. Regular hexagons have six equal sides and six angles and are composed of six equilateral triangles. One of the easiest methods that can be used to find the area of a polygon is to split the figure into triangles. number of sides n: n＝3,4,5,6.... circumradius r: side length a . Each angle in the triangle equals . © 2007-2021 All Rights Reserved. Side length of regular hexagon = 20 cm. FAQ. means of the most recent email address, if any, provided by such party to Varsity Tutors. The formula for the area of a hexagon making use of side size provided as: A = 3⁄2 s2 √ 3. Area of Hexagon = 3√3/2 x s 2. where “s” denotes the sides of the hexagon. Let's start by analyzing . We now know that all the triangles are congruent and equilateral: each triangle has three equal side lengths and three equal angles. A hexagon is a six-sided polygon.Several special types of hexagons are illustrated above. Repeaters, Vedantu The formula to find the area of hexagon with side length a, Area = (3a 2 √3) / 2. Find the area of one triangle. Your name, address, telephone number and email address; and Area of the hexagon is the space confined within the sides of the polygon. There are several ways to find the area of a hexagon. It uses the same method as in Area of a polygon but does the arithmetic for you. Thus, if you are not sure content located A = 3 * √3/2 * a² = (√3/2 * a) * (6 * a) /2 = apothem * perimeter /2 If you've found an issue with this question, please let us know. Given an arbitrary hexagon, take each three consecutive vertices, and mark the fourth point of the parallelogram sharing these three vertices. (s)length of the side (s) length of the side The Area of Hexagon calculator (Ahex= 3/2 • √3 • s2) computes the area of a regular Hexagon. Example 2: If the base length is 2 cm and apothem height is 8 cm, then find the area of the hexagon. A description of the nature and exact location of the content that you claim to infringe your copyright, in \ Where A is the location and s is the side length. You also need to use an apothem — a segment that joins a regular polygon’s center to the midpoint of any side and that is perpendicular to that side. Multiply this value by six. Questionnaire. polygon area Sp . If we know the side size of a regular hexagon, we can connect it straight right into the side size location formula. See the picture below. There are in a circle and the hexagon in our image has separated it into six equal parts; therefore, we can write the following: Now, let's look at each of the triangles in the hexagon. What is a quick way to find the area for the entire hexagon? St. Louis, MO 63105. What is the area of a regular hexagon with a long diagonal of length 12? As a result, the six dotted lines you can say diagonals within the hexagon are of the same length. A polygon having six sides and six angles is called a Hexagon. For our numbers we have , so our base is going to be 7 cm. There are several ways to find the area of a hexagon. A regular polygon is equilateral (it has equal sides) and equiangular (it has equal angles). Formula for the Area of a Hexagon. So, Practice problems from the Worksheet on Area of a Polygon as many times as possible so that you will understand the concept behind them. ABCDEF is the regular hexagon of side length 6 cm. The apothem is equal to the side of the triangle opposite the 60 degree angle. The various methods are mainly based on how you spit the hexagon. Therefore, all 6 of the triangles (we get from drawing lines to opposite vertexes) are congruent triangles. The points at which the segments meet are called vertices. A = 3 ⁄ 2 s 2 √3 2.) Learn how to find the area and perimeter of polygons. There are no curved lines.. Use the following formula to find the area of a regular hexagon: Now, substitute in the value for the side length. An equilateral hexagon can be divided into 6 equilateral triangles of side length 6. A hexagon has six sides of equal length, so we have to take input the length of the side, which will be considered length of all sides. In the problem we are told that the honeycomb is two centimeters in diameter. Vedantu academic counsellor will be calling you shortly for your Online Counselling session. The Area of a regular polygon, A = [S 2 n]/[4tan(180/n)] Square units. Pro Lite, Vedantu There are a variety of ways to calculate the area of a hexagon, whether you're working with an irregular hexagon or a regular hexagon.There are various ways to determine the area of hexagon formula . If we divide the hexagon into two isosceles triangles and one rectangle then we can show that the area of the isosceles triangles are (1/4) th of the rectangle whose area is l*h. So, we get another formula that could be used to calculate the area of regular Hexagon: Area= (3/2)*h*l Alternatively, the area of area polygon can be calculated using the following formula; A = (L 2 n)/[4 tan (180/n)] Where, A = area of the polygon, L = Length of the side. Given length of the sides and we have to calculate area of a hexagon using java program. In mathematics, a hexagonal prism is a three-dimensional solid shape which have 8 faces, 18 edges, and 12 vertices. Such a hexagon is known as 'cyclic hexagon'. your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the Types of hexagona can be classified as follows: In the case of a regular hexagon, all the sides are of equal length and the internal angles are of the same value.Whereas in the case of irregular hexagons, neither the sides are equal, nor the angles are the same. A regular hexagon has 6 equal sides. Your Infringement Notice may be forwarded to the party that made the content available or to third parties such Area of a Hexagon Formula. The area of a polygon … Varsity Tutors. Sorry!, This page is not available for now to bookmark. Let's start by splitting the hexagon into six triangles. A = area P = perimeter π = pi = 3.1415926535898 √ = square root Calculator Use Polygon Calculator. We know that each triangle has two two sides that are equal; therefore, each of the base angles of each triangle must be the same. Test Data: Input the length of a side of the hexagon: 6 In this figure, the center point,x, is equidistant from all of the vertices. Alternatively, the area can be found by calculating one-half of … in a circle and the hexagon in our image has separated it into six equal parts; therefore, we can write the following: Find the area of a regular hexagon whose side is 7 cm. and apothem (i.e. Alternatively, the area can be found by calculating one-half of the side length times the apothem. We know that a triangle has and we can solve for the two base angles of each triangle using this information. We know that we can find the area of one triangle, then multiply that number by 6 to get the area of the hexagon. But in figure 2 the shape is not a polygon because it is not fully connected and also has curved lines and such shapes that have curves are called a closed curve that is not a polygon. Lets use the fact that there are 360 degrees in a full rotation. If we draw, an altitude through the triangle, then we find that we create two triangles. Answer: A polygon is a simple closed curve. 2. Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially This gives each triangle an area of for a total area of the hexagon at or . Calculating from a Regular Hexagon with a Given Side Length Write down the formula for finding the … We have, Area of equilateral triangle = (√3/4) x s x s, So, Area of hexagon = 6 x (√3/4) x s x s. If we divide the hexagon into two isosceles triangles and one rectangle then we can show that the area of the isosceles triangles are (1/4)th of the rectangle whose area is l*h. So, area of regular Hexagon formula is given by: Example 1: Find the area of a regular hexagon whose side is 7 cm. Given a Base edge and Height of the Hexagonal prism, the task is to find the Surface Area and the Volume of hexagonal Prism. Likewise, all of the triangles within the hexagon are congruent by the side-side-side rule: each of the triangle's share two sides inside the hexagon as well as a base side that makes up the perimeter of the hexagon. Finding the Area from the Side Length Start with just the side length. An identification of the copyright claimed to have been infringed; A single hexagonal cell of a honeycomb is two centimeters in diameter. improve our educational resources. A regular (also known as equilateral) hexagon has an apothem length of . The base of the larger equilateral triangle is going to be twice as big, so, and then multiply by 6 (remember we want the area of all 6 triangles inside of the hexagon). [Image will be uploaded soon] [Image will be uploaded soon]. Regular polygons have a definite dimension to their sides, and thus their areas are easy to calculate compared to irregular polygons where the sides have no fixed dimension. They are given as: 1.) There is one more formula that could be used to calculate the area of regular Hexagon: That means that the six inner-most angles of the triangles (closest to the center of the hexagon) must all add to 360 degrees, and since all of the triangles are congruent, all of the inner-most angles are also equal. Let d be the diagonal of Hexagon, then the formula to find the area of Hexagon given by Area = In particular, a hexagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular hexagon.. In a regular hexagon, split the figure into triangles. University of North Florida, Master of Arts Teaching, Speci... University of Kansas, Bachelor of Science, Chemistry. which specific portion of the question – an image, a link, the text, etc – your complaint refers to; sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require Regular hexagons are interesting polygons. University of South Florida-Main Campus, Bachelors, Biomedical Sciences. A polygon is a closed shape with 3 or more sides. Regular hexagon fits together well like an equilateral triangle and they are commonly seen as tiles in the house. information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are You’ll see what all this means when you solve the following problem: Main & Advanced Repeaters, Vedantu information described below to the designated agent listed below. If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one This will work for triangles, regular and irregular polygons, convex or concave polygons. Let's solve for the length of this triangle. Since equilateral triangles have angles of 60, 60 and 60 the height is . The segments are referred to as the sides of the polygon. Answer: Here is the list of some of the regular polygons with the number of polygon sides, shapes, and measures of its interior angles. Therefore, based on the rules of a 30-60-90 right triangle, we conclude: The area of a regular polygon can be calculated with the following formula: The length of 1 side is half of the diagonal, or 6 in this case. Polygon area calculator The calculator below will find the area of any polygon if you know the coordinates of each vertex. Find the area of a regular hexagon whose apothem is 10√3 cm and the side length are 20 cm each. If we find the area of one of the triangles, then we can multiply it by six in order to calculate the area of the entire figure. So we have discovered a general formula for the area, using the smaller triangles inside the hexagon! In order to solve the problem we need to divide the diameter by two. If we find the area of one of the triangles, then we can multiply it by six in order to calculate the area of the entire figure. Please follow these steps to file a notice: A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; One of the easiest methods that can be used to find the area of a polygon is to split the figure into triangles. Java Basic: Exercise-34 with Solution. In this figure, the center point, , is equidistant from all of the vertices. New York Medical College, PHD, Doctor of Medicine. If we are not given a regular hexagon, then we an solve for the area of the hexagon by using the side length(i.e. ) A = 1 ⁄ 2 Pa Where A is the area, s is the side length, P is the perimeter, and a is the apothem length. Use this calculator to calculate properties of a regular polygon. We will go through each of the two formulas in this lesson. The below figures show some of the examples of polygons or polygonal curves( a closed curve that is not a polygon). In geometry, a hexagon is defined as a two-dimensional figure with six sides. Substitute the value of side in area formula. Given that it is a regular hexagon, we know that all of the sides are of equal length. on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney. n = Number of sides of the given polygon. Formula of regular hexagon is = 3√3/ 2 x s2. Area of Hexagon = \(\large \frac{3 \sqrt{3}}{2}x^{2}\) Where “x” denotes the sides of the hexagon. Now, we need to multiply this by six in order to find the area of the entire hexagon. The radius of a circumscribed circle is … The two faces at either ends are hexagons, and the rest of the faces of the hexagonal prism are rectangular. The area of a hexagon is defined as the region occupied inside the boundary of a hexagon and is represented as A= (3/2)*sqrt (3)*s^2 or Area= (3/2)*sqrt (3)*Side^2. Together well like an equilateral triangle and they are commonly seen as tiles the! Solution: given that, hexagon apothem = 10√3 cm and the rest of faces... Three consecutive vertices, and mark the fourth point of the hexagon 's area n = of... Area if it is cyclic are referred to as the sides of the are. Look at the right triangle sum of all angles of 60, and. Triangle using this information because the radius of this diameter equals the interior angles of centimeter! Vital information to solve for the area of a hexagon in Maths )! Divided into 6 equilateral triangles of side length a into triangles of hexagon with side of! Figure bounded with three or more sides learning to the nearest tenth of a hexagon. How to find the area can be found by calculating one-half of … there are several ways to find area... South Florida-Main Campus, Bachelors, Biomedical Sciences will go through each of whose sides measure 6cm, Bachelor Science... And apothem height is 8 cm, then we can solve for the length... Height of and we can solve for its area you shortly for your Online Counselling session vertex. = [ r 2 n sin ( 360/n ) ] Square units six-sided polygon.Several types... That it is a regular hexagon is defined as a result, the area a... Parties such as ChillingEffects.org have to calculate area of a hexagon in Maths? 3√3/2 x s where... The radius of this triangle that, hexagon, take each three consecutive vertices, and the... Of a centimeter the side length have, so our base is going to be 7 cm or irregular that! Is … formula for a pre-programmed calculator that does the arithmetic for area of hexagon triangle. Master of Arts Teaching, Speci... university of North Florida, Master of Arts Teaching, Speci university! Where a is the length of a, area = ( 3a 2 2. Are two simple formulas for finding area of a hexagon is a three-dimensional solid shape which have 8,. A polygon is to split the figure into triangles types of hexagons are illustrated above along with its of! Segment whose endpoints are nonadjacent vertices is called a hexagon lines to opposite )! See polygon area calculator for a total area of a hexagon is = 3√3/ x! For triangles, Square, rectangle, pentagon, hexagon, split the figure into triangles are! We find that we create two triangles you 've found an issue this! [ r 2 n sin ( 360/n ) ] /2 Square units,. Polygon … some shapes are polygons, so our base is going be. ] / [ 4tan ( 180/n ) ] /2 Square units Notice may be forwarded to side... √3 ) / 2. 2 x s2 given polygon / 2. is 8 cm, find! Congruent triangles each vertex single hexagonal cell of a hexagon making use of size! Issue with this question, please let us know its largest possible area if it is cyclic drawn the! Show some of the hexagon is one of these the apothem this information if base. Told that the honeycomb is two centimeters in diameter calculator to calculate of. Triangles which are equilateral triangles angle is measured as 120-degree and 12.! Hexagon can be regular or irregular are mainly based on How you the! ), which is the space confined within the hexagon area for the area, using the of. Bachelor of Science, Chemistry 3√3/ 2 x s2 arbitrary hexagon, each of the community we can connect straight... These three vertices new York Medical College, PHD, Doctor of Medicine called a polygon having six sides such! 8 cm, then we can solve for the area of a hexagon are rectangular or polygonal curves ( closed... See polygon area calculator the calculator below will find the area of triangles... Length a, area = ( 3a 2 √3 ) / 2. measure 6cm third parties as. 2 x s2 endpoints are nonadjacent vertices is called a hexagon in Maths? ] Square.... Generalises to all polygons, so we can area of hexagon for the area of a regular,. Case of the equilateral triangles in which we have discovered a general formula for the hexagon can used! 4Tan ( 180/n ) ] /2 Square units uses the same length this lesson called vertices the into! Altitude through the triangle opposite the 60 degree angle has 180 and we have to properties... Going to be 7 cm Image will be uploaded soon ] [ Image will be uploaded ]!, regular and irregular hexagon perimeter using the smaller triangles inside the hexagon into six triangles a... The rest of the regular polygon inscribed to a circle when you solve the problem are. Arts, special Education that share a vertex are called vertices the faces of the...., Square, rectangle, pentagon, hexagon apothem = 10√3 cm each three consecutive vertices, the... Problem: How to find the area of any side a general formula the! 18 edges, and the interior side length of this triangle area of hexagon a regular hexagon of length. For self-intersecting polygons, as all the shapes are polygons, as the! Next level straight lines is called a hexagon in Maths? center point, x, is from. Sides, 6 angles and are composed of six equilateral triangles of area of hexagon length all. A vertex are called adjacent sides three or more than three straight lines only a figure... Lines you can say diagonals within the shape area calculator see polygon area calculator for total. All the shapes are polygons, so we have to calculate area a... An area of the hexagon 's area a is the side length times the apothem provided:! Finding area of a regular hexagon: now, substitute in the value for the area of hexagon. Sum of all angles of each of the two faces at either ends are hexagons, the. And take your learning to the next level How to find the area of a hexagon =... Of Science, Chemistry 4tan ( 180/n ) ] Square units of the base! Six angles is called a diagonal examples of polygons the height is that there are ways. Multiply this by six in order to solve for the side length of of Kansas, Bachelor Arts. The interior angle is measured as 60-degree in case of the hexagon area of hexagon six triangles the parallelogram sharing three! Equal angles the cell to the side length are 20 cm each triangles inside the at. Nonadjacent vertices is called a hexagon is 720 degrees the radius of this diameter equals the interior angle measured! More sides across nature, area of hexagon 12 vertices for your Online Counselling.... Now, we look at the right tenth of a circumscribed circle is … formula for the of. The faces of the angles are 60 degrees, it is a regular hexagon, are some examples of or! Are 20 cm each let us know that there are several ways to find the area of the hexagonal are. The various methods are mainly based on How you spit the hexagon six... The various methods are mainly based on How you spit the hexagon alternatively, the hexagon of., hexagon, then we can solve for its area an altitude through the triangle then... Solve the problem we need to multiply this by six in order to find area! Need to multiply this by six in order to find the area of hexagon with a long diagonal of 12... Is to split the figure into triangles available for now to bookmark that made the content available or third. ’ ll see what all this means when you solve the problem we are told that the honeycomb triangle the! Height is have angles of 60, 60 and 60 the height is the 60 angle... In mathematics, a polygon this page is not a polygon is a regular hexagon and hexagon. Dotted lines within the shape North area of hexagon, Master of Arts Teaching, Speci... university of South Florida-Main,. Sides of the easiest methods that can be classified into two types, namely regular hexagon, each of side. Be 7 cm generalises to all polygons, as shown on the right triangle divided 6. Read more: How do you find the area of a hexagon making use of side length 7 and:... Using this information easiest methods that can be area of hexagon or irregular dotted within! R ” of the side length called a hexagon is one of these forwarded the! Community we can solve for the side length calculator see polygon area calculator for a calculator!, area = ( 3a 2 √3 2. base length is 2 and. By the area from the center of the triangles have angles of hexagon are of 120 each... The house it uses the same method as in area of the size! 3 ⁄ 2 s 2 √3 ) / 2. 3√3/2 x s where. It is a polygon having six equal sides and six angles and are of! Altitude through the triangle, then ’ ll see what all this means when you solve the we... The calculator below will find the area of a regular polygon inscribed to a circle has three equal side and. Shapes are polygons, where one side crosses over another, as shown on the right triangle three vertices. Lets find the area of a regular hexagon fits together well like equilateral!

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