Question

In the figure, square ABCDABCD Find the area of shaded region.

Answer 1

The radius of sector $A-PCQ=20\sqrt{2}cm$

Area of sector is $\frac{1}{4}\pi \left(20\sqrt{2}{)}^2\frac{1}{4}\pi \right(800)=200\pi$

The radius of sector $C-BXD=20cm$

Area of sector is $\frac{1}{4}\pi \left(20{)}^2\frac{1}{4}\pi \right(400)=100\pi$

Area of shaded region is $200\pi -100\pi =100\pi$