Question

A square sheet of metal has sides 2p. The circle fits perfectly into the square:

2p

The area between the square and the circle is

Answer 1

The radius of the circle is $2p/2=p.$ Then the area of a circle is calculated as $\pi p^2.$

The area of the square is $(2p)^2=4p^2.$

The area between the square and the circle is

$$4p^2-\pi p^2=(4-\pi)p^2.$$