You will need

- Know of sides of the polygon, its area/perimeter.

Instruction

1

The calculation of the radius of the circumscribed around the triangle

If a circle circumscribed around the triangle with sides a, b, c, area S and angle ?, lying up against the side a, the radius R can be calculated by the following formulas:

1) R = (a*b*c)/4S;

2) R = a/2sin?.

**of the circle**.If a circle circumscribed around the triangle with sides a, b, c, area S and angle ?, lying up against the side a, the radius R can be calculated by the following formulas:

1) R = (a*b*c)/4S;

2) R = a/2sin?.

2

The calculation of the radius

To calculate the radius

R = a/(2 x sin (360 / (2 x n))) where

a - side of a regular polygon;

n is the number of sides.

**of a circle**circumscribed around a regular polygon.To calculate the radius

**of a circle**circumscribed around a regular polygon, you need to use the following formula:R = a/(2 x sin (360 / (2 x n))) where

a - side of a regular polygon;

n is the number of sides.

Note

Around a polygon, you can describe a circle only if it is regular, i.e. all its sides equal and all its angles equal.

The thesis, which States that the center of the circumscribed around the circumference of the polygon is the intersection of its middle perpendiculars are valid for all regular polygons.

The thesis, which States that the center of the circumscribed around the circumference of the polygon is the intersection of its middle perpendiculars are valid for all regular polygons.