Answer
$4-\pi\approx0.858~units^2$
Work Step by Step
The shaded region is the difference of a square of side $2$ and a circle of radius $1$. Hence, the area is given by
$$
A= 2^2-1^2\pi=4-\pi\approx0.858~units^2
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A20: 38
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