The radii of the circumscribed circle and the inscribed circle of a regular n-gon, n≥3 are denoted by Rn and rn, respectively. Prove that rnRn≥(rn+1Rn+1)2.
Source: ILL 1980-20
Tags: inequalities, geometry, inradius, circumcircle, geometry unsolved
The radii of the circumscribed circle and the inscribed circle of a regular n-gon, n≥3 are denoted by Rn and rn, respectively. Prove that rnRn≥(rn+1Rn+1)2.