# Find area of square in circle (puzzle)

Source of question : https://nrich.maths.org/548 Question=Find area of the shaded/inscribed part of the shape. I have got the answer for the first two shaded shapes , however the I cannot find a way of finding the area of the second square . As the triangle is isoceles take the two equal sides as '3' and the hypotenuse as '3✓2)' Picture of shape attached :

• The words don't seem to match the picture. Your title refers to a square in a circle, but there is no circle. Your text refers to multiple squares but there is only one. – lulu Sep 3 '18 at 21:10

remembering that $\triangle ABC$ is an isosceles right angled triangle