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Junior Regional Olympiad - FBH 2018 Grade 8 Problem 5

Source:

September 19, 2018

ratioSquarescircumcircle

Problem Statement

It is given square

ABCD

which is circumscribed by circle

k

. Let us construct a new square so vertices

E

and

F

lie on side

ABCD

and vertices

G

and

H

on arc

AB

of circumcircle. Find out the ratio of area of squares