Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 390: 24

Answer

(144 - 36$\pi )m^{2}$

Work Step by Step

Area of square = Area of shaded Region + 4 * Area of $\frac{1}{4}$ circle Area of shaded region = Area of square - 4 * $\frac{1}{4}$area of circle Area of shaded region = Area of square - Area of Circle As we know area of square = $side^{2}$ = $12^{2}$ = 144 $m^{2}$ Area of Circle = $\pi r^{2}$ = $\pi 6^{2}$ = 36$\pi m^{2}$ Area of shaded region = (144 - 36$\pi )m^{2}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.