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`s = 2 * r * sin(pi/ n )`

Enter a value for all fields

The **Length of Polygon Side **calculator computes the length of the individual sides (segments) of a regular polygon given the number of sides of the regular polygon and the radius, **r**, of a circumscribed (outer) circle.

**INSTRUCTIONS**: Choose units and enter the following:

- (
**r**) Outer Radius - (
**n**) Number of sides of the polygon

**Polygon Side Length (s): **The calculator returns the length of the sides in meters. However, this can be automatically converted to compatible units via the pull-down menu.

A regular **n**-sided polygon is a polygon with **n** equal length sides and is a polygon which has **n** equal angles at the **n** vertices of the polygon. Because of the symmetry of this construction, all the vertices of the regular polygon lie on the circle and the sides of the regular polygons form **n** chords of the circle.

The formula for the length of a side of a polygon based on the outer radius and number of sides is:

where:

- s is the length of the sides of a polygon inside of the circle
- r is the radius of the outer circle
- n is the number of sides (integer)

- Area of a Polygon based on the length and number of sides.
- Area of a Polygon based on the number of sides and the outer radius.
- Area of a Polygon based on the number of sides and the inner radius.
- Perimeter of a Polygon based on the number and length of sides.
- Perimeter of a Polygon based on the number of sides and the outer radius.
- Perimeter of a Polygon based on the number of sides and the inner radius.
- Length of a Polygon Side based on Circumscribed Circle Radius
- Length of a Polygon Side based on Inscribed Circle Radius