MathDB

Cyclic hexagon with lengths 22, 22, 20, 22, 22, 20

Source: AIME II 2013, Problem 8

April 4, 2013

geometrytrapezoidquadraticstrigonometrycircumcircleARMLalgebra

Problem Statement

A hexagon that is inscribed in a circle has side lengths

22

22

20

22

22

, and

20

in that order. The radius of the circle can be written as

p+\sqrt{q}

, where

p

and

q

are positive integers. Find

p+q