How do I find the area of a shaded region?

Question

How do I find the area of the shaded region?

Problem: a circle has a radius 4 is inscribed in a square.

Answer 1

I guess you want the area of the region between the square and the circle. The square has sides each equal in length to the diameter of the circle=2*4=8. The area of the square is 8^2=64. The area of the circle is (pi)*4^2=16(pi), so the area of the region is 64-16(pi)=13.73 approx.

Answer 2

66665