How do you find the side length of a polygon given the radius?

Regular Polygon Formulas

1. Side Length a. a = 2r tan(π/n) = 2R sin(π/n)
2. Inradius r. r = (1/2)a cot(π/n) = R cos(π/n)
3. Circumradius R. R = (1/2) a csc(π/n) = r sec(π/n)
4. Area A. A = (1/4)na2 cot(π/n) = nr2 tan(π/n)
5. Perimeter P. P = na.
6. Interior Angle x. x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees.
7. Exterior Angle y.

What is the side length?

Filters. (mathematics) The length of a side (of a polygon). noun.

Are all sides of a pentagon the same length?

So, the sum of the interior angles of a pentagon is 540 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).

How do you find the length of sides of polygons?

There aren’t many rules for finding the lengths of sides of polygons, but this usually isn’t a problem. Side lengths are much easier to measure than angles, especially if you’re working with a regular polygon. All sides are equal on regular polygons. If you measure one side, you’ll know the length of the rest.

How do you know if a polygon is regular?

When a polygon’s sides are the same length and angles are the same degree, we call it a “regular” polygon. A square is regular. All sides and all angles are equal. The Pentagon in Washington D.C. is a regular 5-gon.

How do you find the perimeter of a polygon with n sides?

The perimeter of a regular polygon with n sides is equal to the n times of a side measure. The sum of all the interior angles of a simple n-gon or regular polygon = (n − 2) × 180° The number of diagonals in a polygon with n sides = n (n – 3)/2 The number of triangles formed by joining the diagonals from one corner of a polygon = n – 2

What is the sum of all the sides of a polygon?

All the sides of a regular polygon are equal All the interior angles are equal The perimeter of a regular polygon with n sides is equal to the n times of a side measure. The sum of all the interior angles of a simple n-gon or regular polygon = (n − 2) × 180°