Diagonal of a polygon: The segment joining any two non-consecutive vertices is called a diagonal. wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. Your email address will not be published. Follow. Just enter the coordinates. To create this article, 51 people, some anonymous, worked to edit and improve it over time. How to use the formula to find the area of any regular polygon? Area of a polygon: The region enclosed within a figure is called its area. How do I calculate the area of an octagon? The area of a regular polygon is its perimeter ($P$) multiplied by the apothem ($a$) divided by two: $$A = \cfrac{P\cdot a}{2}$$ When we talk about regular polygons, we are talking about hexagons, heptagons, octagons, regular n-gons. Assuming it's not a square or rectangle, you would have to subdivide the figure into smaller sections consisting of squares, rectangles, triangles, and other shapes whose areas can be easily calculated. Find the Area of Regular Polygons Using Their Apothems. ¿Alguien sabe qué es eso? Worksheet on Area of a Polygon is helpful to the students who are willing to solve the questions on area of the pentagon, square, hexagon, octagon, and n-sided polygons. For shapes with curved boundary, calculus is usually required to compute the area. The standard units for the measurement of area is square meters (m 2). Thus, the formula that computes the area of the polygon:, where with. The correct formula to calculate the area of a rectangle, as you have seen the earlier exercise, it is the product of the measurements of the sides: 6cm x 4cm = 24cm². Area of a parallelogram given base and height. Every day at wikiHow, we work hard to give you access to instructions and information that will help you live a better life, whether it's keeping you safer, healthier, or improving your well-being. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. The formulas for areas of unlike polygon depends on their respective shapes. To find the area of a polygon, follow these steps: • First, write down the formula for the area of a polygon, which is area =1/2 + perimeter x apothem • Next, find the apothem of the polygon Given below is a figure demonstrating how we will divide a pentagon into triangles % of people told us that this article helped them. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. Este es el momento en el que las unidades son impo A regular polygon is a polygon that is both equiangular and equilateral. parallelogram, trapezoid (trapezium), triangle, rhombus, kite, regular polygon, circle, and ellipse. For the calculation of the area of the triangle, we will use the famous base formula for height over two: And we are going to see 3 ways in which triangles can be presented to us when applying the aforementioned formula because sometimes the brain deceives us. To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. How do I find the area of a 4-sided shape? Worksheet on Area of a Polygon is helpful to the students who are willing to solve the questions on area of the pentagon, square, hexagon, octagon, and n-sided polygons. 180° Interior angle = Area = (½)nsr. The Area of a regular polygon, A = [S 2 n]/[4tan(180/n)] Square units If the circum-radius “r” of the regular polygon is given, then A = [r 2 n sin(360/n)]/2 Square units Each Area calculator is shown below. a=1/2ap. Area of a trapezoid. For determining the area of a polygon given on a coordinate plane, we will use the following formula: Area (A) = | (x 1 y 2 – y 1 x 2 ) + (x 2 y 3 – y 2 x 3 )…. By Mark Ryan . Que todos, Este es el momento en el que las unidades son impo, ¿Alguien sabe qué es eso? These are my favorite! Double it to get the full length. equiangular is known as a regular polygon. How to Find the Area of Polygon? Is there a formula for the area of a regular Polygon! If you want to know how to find the area of a variety of polygons, just follow these steps. Regular Heptagon. Know the correct formula. The area of any given polygon whether it a triangle, square, quadrilateral, rectangle, parallelogram or rhombus, hexagon or pentagon, is defined as the region occupied by it in a two-dimensional plane. Area of a triangle (Heron's formula) Area of a triangle given base and angles. The area of a regular polygon is given in terms of the radius r of its inscribed circle and its perimeter p by A = 1 2 ⋅ p ⋅ r . Combine the number of sides, n, and the measure of one side, s, with the apothem, a, to find the area, A, of any regular polygon. Then, divide the total by 2 to get the area. Elements, equations and examples. Area of a rhombus. This formula computes area with orientation. Area of Regular Polygon = n * (side length) * (apothem) / 2 So, this formula is telling us to multiply the apothem, the number of sides, and the length of a side together and then to divide by 2. By using our site, you agree to our. The shaded areas represent the circular sector and the circular segment respectively: You will see that calculating those areas is easier than it seems, luck ; ), Thank you for being at this moment with us:), Your email address will not be published. Calculate the area of each, then add them to find the total. Your support helps wikiHow to create more in-depth illustrated articles and videos and to share our trusted brand of instructional content with millions of people all over the world. Example of calculating the area of a regular nonagon + (x n y 1 – y n x 1 )/2 | To learn the steps follow the link given below: Finally, here's a trig formula that will work if you know the apothem of the polygon (perpendicular distance from the center to any side): A= a²n[tangent(180°/n)], where a is the length of the apothem, and n is the number of sides. Required fields are marked *, rbjlabs Area of a parallelogram given sides and angle. According to part 3, how do I calculate the area of a circle having a radius of 7 cm, or four points are (0,7), (7,0), (0,-7), (-7,0)? Please consider making a contribution to wikiHow today. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Where did this equation come from? The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. The area is then given by the formula Where x n is the x coordinate of vertex n, ... See Polygon area calculator for a pre-programmed calculator that does the arithmetic for you. Write down the formula for finding the area of a regular polygon. This article has been viewed 1,246,071 times. wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. 1. Area of a rectangle. It is always a two-dimensional plane. 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