#### Answer

A=rx^{y}2 (4-\pi)

#### Work Step by Step

They area of the region can be found by subtracting the area of the square minus the area of the circle.
Area of square = Length \times width
= (2r)x^{y}2
Area of circle = \pirx^{y}2
Area of region= Area of square-Area of circle
A= (2r)x^{y}2 - \pirx^{y}2 -Distribute the square to the 2 and r
A=4rx^{y}2 - \pirx^{y}2 - rx^{y}2 is common so it is to be
factored out
A= rx^{y}2 (4-\pi)