The publication presents a formula with which you can find the radius of a circle circumscribed around a regular polygon, as well as an example of solving the problem for a better understanding of the material presented.
Content
The formula for calculating the radius of a circle
The figure shows a regular hexagon with a circle circumscribed around it, but the formula below works for any regular n-gon.
where a – side length.
Note: knowing the radius of the circumscribed circle, you can find the side of an equilateral n-gon (the formula is derived from the one presented above):
Example of a problem
Given a regular pentagon with a side length of 8 cm. Calculate the radius of the circumscribed circle around this figure.
Decision:
We apply the corresponding formula, substituting the value known to us into it.
