Formula For Finding Interior Angles Of A Polygon

The same formula s n 2 180 s n 2 180 can help you find a missing interior angle of a polygon. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. In order to find the measure of a single interior angle of a regular polygon a polygon with sides of equal length and angles of equal measure with n sides we calculate the sum interior angles or n 2 180 and then divide that sum by the number of sides or n.

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Interior angles of a polygon formula.

Formula for finding interior angles of a polygon. If a polygon has p sides then. Check here for more practice. Area of a octagon 1 2 8 sin 360 8 5 2.

Where s is the length from centre to corner. Length of sides immaterial. Sum of interior angles p 2 180.

Hence n 8. If the exterior angle of a polygon is given then the formula to find the interior angle is. Let us discuss the three different formulas in detail.

Interior and exterior angle formulas. Interior angles of a regular polygon 180 n 360 n. Insert drawing of pentagon with four interior angles labeled and measuring 105 115 109 111.

Here is a wacky pentagon with no two sides equal. Given the polygon is an octagon. The sum of the interior angles of a polygon is given by the product of two less than the number of sides of the polygon and the sum of the interior angles of a triangle.

The formula can be obtained in three ways. 4 0 707 25. Area of a regular polygon 1 2 n sin 360 n s 2.

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