A regular polygon is equilateral (it has equal sides) and equiangular (it has equal angles). 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).
Simply so, how do you calculate the area of a polygon?
Write down the formula for finding the area of a regular polygon. 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. Here is what it means: Perimeter = the sum of the lengths of all the sides.
What is the formula for the area of a polygon?
In your exam, you might be asked to find angles of polygons. The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180° where n is the number of sides of the polygon. For any polygon, count up how many triangles it can be split into. Then multiply the number of triangles by 180.
What is the formula for regular polygon?
The area of a regular polygon is given by the formula below. area = (½)(apothem)(perimeter) Several other area formulas are also available. Regular Polygon Formulas. n = number of sides.