MathDB

In the figure, there is a circle of radius

1

such that the segment

AG

is diameter and that line

AF

is perpendicular to line

DC

. There are also two squares

ABDC

and

DEGF

, where

B

and

E

are points on the circle, and the points

A

D

and

E

are collinear. What is the area of square

DEGF

? https://cdn.artofproblemsolving.com/attachments/1/e/794da3bc38096ef5d5daaa01d9c0f8c41a6f84.png

Problem Statement