This will work for triangles, regular and irregular polygons, convex or concave polygons. It may be simple or complex depends on the nature of the problem. Get the area for one triangle 3. It can be sectored into five triangles. This blue line we've been using for the height of … Similarly, the n-gon has n sides and you can make n triangles. Area of pentagon can be calculated by using the above formula for pentagon area. AREA OF PENTAGON = 22cm 2 × 5 = 110cm 2 What we really needed to know. Area of Pentagon is given by 5/2 x s x a; where s is the side of the Pentagon, and a is the apothem length. Where A is the area, s is the side length, a is the apothem length, and p is the perimeter. At its completion at a cost of $83 million in January 1943, the Pentagon was the world’s largest office building, covering 29 acres (12 hectares)—including a 5-acre (2-hectare) central court—and containing roughly 3,700,000 square feet (344,000 square metres) of … You can find the surface area by knowing the side length and apothem length. A closed and flat two-dimensional surfaced shape with five angles and five sides is called as pentagon. Area of regular pentagon can be found out in 2 ways. Break the pentagon into 5 congruent triangles 2. Below given an Area of a Pentagon Calculator that helps you in calculating the area of a five-sided pentagon. Follow these steps to calculate area of pentagon: Identify and write down the side measurement of the pentagon. A regular pentagon has: Interior Angles of 108° Exterior Angles of 72° Area of approximately 1.7204774 × s2 (where s=side length) Area of a Pentagon is the amount of space occupied by the pentagon. The image below is a regular pentagon, where R is the circumscribing circle radius, a is the apothem, and s is the side length. Area of a pentagon, This formula is for any pentagon, whether it is regular or irregular. It uses the same method as in Area of a polygon but does the arithmetic for you. The page provides the Pentagon surface area formula to calculate the surface area of the pentagon. Multiply by 5 to get the area for all 5 triangles or the whole pentagon Notice that the pentagon has 5 sides and you can make 5 triangles. Most of the common type of Pentagon that is followed during construction as well as a Regular Polygon having all equal sides and angles. Calculate the area of a regular pentagon with side 12 cm and apothem of 7.5 cm. Area of a Pentagon Formula A Pentagon is a five-sided shape in the Geometry. To get the area of the pentagon above, follow the steps below: 1. So all we actually needed, to work out the area of 1 of the 5 triangles, was the length of the blue line, and the length of a side/edge of the Pentagon. These dimensions will be useful to reference throughout this … Pentagon is the five-sided polygon with five sides and angles. Java Method Exercises: Create the area of a pentagon Last update on February 26 2020 08:08:14 (UTC/GMT +8 hours) As the polygon is a pentagon having five sides, where each side (s) measures 12 cm, its perimeter (p) is = (5 x s) = (5 x 12) = 60 cm Now, as we know, Area (A) = ½ x p x a, here p = 60 cm and a = 7.5 cm Write down the pentagon area formula. Contributed by: Alvaro José Ibarra Rivas (Institución Educativa Santa Fe Santiago de Cali - Colombia) (March 2011) This Demonstration shows that you can calculate the area of a pentagon or any other polygon using triangulation in combination with Heron's formula for the individual triangle areas. 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