The publication presents a formula with which you can find the radius of a circle inscribed in 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 inscribed in it, but the formula below works for any regular n-gon.
where a – side length.
Note: knowing the radius of the inscribed circle, you can find the side of an equilateral n-gon:
Example of a problem
Calculate the radius of a circle inscribed in a regular octagon if its side length is 12 cm.
Decision:
We use the first formula, substituting a known value into it.
