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To find the apothem divide the length of one side by 2 times the tangent of 180 degrees divided by the number of sides. Sum of interior angles n 2 180 interior angle area nsr.

Area Of Equilateral Triangle And Regular Polygons Foldable

N is the number of sides.

What is the formula for area of a regular polygon. All sides are equal length placed around a common center so that all angles between sides are also equal. A more detailed explanation in text and video of each area formula. Here is what it means.

Parallelogram trapezoid trapezium triangle rhombus kite regular polygon circle and ellipse. Area 1 2 x perimeter x apothem. A table of area formulas and perimeter formulas used to calculate the area and perimeter of two dimensional geometrical shapes.

By definition all sides of a regular polygon are equal in length. To find the area of a regular polygon all you have to do is follow this simple formula. More geometry lessons in these lessons we have compiled.

The area of any regular polygon is equal to half of the product of the perimeter and the apothem. N number of sides s length of a side r apothem radius of inscribed circle r radius of circumcircle. To find the area of regular polygons use the formula.

Area n a cot π n 4. If you know the length of one of the sides the area is given by the formula. Area ap 2 where a is the apothem and p is the perimeter.

How to find the area of a regular polygon. Area of a regular polygon formulas the most popular and usually the most useful formula is the one that uses the number of sides n and the side length a. 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. Tan is the tangent function calculated in degrees. Area of regular polygon where p is the perimeter and a is the apothem.

A regular polygon is a polygon that is both equiangular and equilateral. Perimeter the sum of the lengths of all the sides. To find the perimeter multiply the length of one side by the total number of sides.

S is the length of any side. The apothem of a regular polygon is a line segment from the center of the polygon to the midpoint of one of its sides. When the number of sides n is equal to 3 it is an equilateral triangle and when n 4 is is a square.