Two quarter-circles are drawn inside a unit square. A smaller square is inscribed in the two quarter-circles. Find the area of the smaller square.
Hi Kitty,
I used Coordinate geometry as shown in the diagram and then solved the bottom circle equation (centred at A) with x=0 and then y=0 respectively to find the points I and H.
Then just find the distance between them.
I will leave the rest to you,
+1569 
