Interior Angle Formula Regular Polygon

If a polygon is not regular such as the one seen at the right you cannot use this formula.

Interior angle formula regular polygon. Area of a octagon 1 2 8 sin 360 8 5 2. 4 0 707 25. Area of a regular polygon 1 2 n sin 360 n s 2.

Formula for exterior angle of regular polygon as follows. Interior angle 180 exterior angle we know the exterior angle 360 n so. Make sure each triangle here adds up to 180 and check that the pentagon s interior angles add up to 540 the interior angles of a pentagon add up to 540.

If the angles of a polygon do not all have the same measure then you cannot find the measure of any one of them just by knowing their sum. Sum of interior angles p 2 180 3060 p 2 180 p 2 frac 3060 180 p 2 17. Interior angle of a polygon sum of interior angles number of sides.

The sum of the measures of the interior angles of a polygon with n sides is n 2 180. Its interior angles add up to 3 180 540 and when it is regular all angles the same then each angle is 540 5 108 exercise. All the interior angles in a regular polygon are equal.

To find the measure of an interior angle of a regular octagon which has 8 sides apply the formula above as follows. Interior and exterior angle formulas. By using this formula easily we can find the exterior angle of regular polygon.

Interior angles of a regular polygon 180 n 360 n method 2. The polygon is an octagon. Hence n 8.