Chapter A.2, Problem 38AYU

To determine

To find: The area of the shaded region.

Answer to Problem 38AYU

$4-\pi$ square units.

Explanation of Solution

Given:

Formula used:

Area of the square $=a^2$ Area of the circle $=\pi r^2$.

Calculation:

From the diagram $r=1\text{and}a=2$.

Area of the square $=a^2=2^2=4$.

Area of the circle $=\pi r^2=\pi {\left(1\right)}^2=\pi$ square units.

The area of the shaded region $=$ Area of the square $-$ Area of the circle $=4-\pi$ square units.