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.
садржина
Формула за израчунавање полупречника круга
The figure shows a regular hexagon with a circle inscribed in it, but the formula below works for any regular n-gon.
где a – дужина бочне стране.
Белешка: knowing the radius of the inscribed circle, you can find the side of an equilateral n-gon:
Пример проблема
Calculate the radius of a circle inscribed in a regular octagon if its side length is 12 cm.
Одлука:
We use the first formula, substituting a known value into it.