MathDB

Cyclic Hexagon

Source:

August 8, 2024

geometrycircumcircle2022

Problem Statement

Hexagon

ARTSCI

has side lengths

AR=RT=TS=SC=4\sqrt2

and

CI=IA=10\sqrt2

. Moreover, the vertices

A

R

T

S

C

, and

I

lie on a circle

\mathcal{K}

. Find the area of

\mathcal{K}