Quarter-circle and circle inscribed in square

2017-10-12 03:32:33

A circle is inscribed in square ABCD, and a quarter-circle with A as its centre is inscribed in the square. What is the area of the crescent like shape inside the full circle and created by the quarter circle. I'm terrible at explaining so here is a diagram. Is there any way to find the area of the crescent-like shape in relation to the smaller circle without using integration?