TOT 2006 Fall - Junior A-Level p1 7-gon and 17-gon, areas
Source:
February 25, 2020
Heptagon17-gonareasgeometryincirclecircumcircleregular polygon
Problem Statement
Two regular polygons, a -gon and a -gon are given. For each of them two circles are drawn, an inscribed circle and a circumscribed circle. It happened that rings containing the polygons have equal areas. Prove that sides of the polygons are equal. (3)