6

Part of 1990 Chile National Olympiad

Problems(1)

regular polygons with equal perimeters and doubles sides (Chile 1990 L2 P6)

Source:

Given a regular polygon with apothem

A

and circumradius

R

. Find for a regular polygon of equal perimeter and with double number of sides, the apothem

a

and the circumcircle

r

A,R

geometrycircumcircleregular polygonperimeter