Answer to Question #299247 in Geometry for Philly

Question

The area of a circle is calculated as πr squared. A square sheet of metal has sides 2p. The circle fits perfectly into the square : The area between the square and the circle is?

Answer 1

As the circle fits perfectly the square with side 2p, the radius of the circle should be equal p.

Therefore the area of the circle is $\pi p^2$ . The area of the square is $(2 p)^2 = 4 p^2$

So the area between the square and the circle is $(4 - \pi) p^2$