Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-8 Perimeter, Circumference, and Area - Practice and Problem-Solving Exercises - Page 65: 24


$\frac{9}{64}\pi\ in^2$

Work Step by Step

To find the area of a circle, we use the formula $A=\pi r^2$ The circle shown has a diameter of $\frac{3}{4}$ in, so its radius is half of that, or $\frac{3}{8}$ in. We plug this value into the formula and simplify: $A=\pi (\frac{3}{8})^2=\pi\times\frac{9}{64}=\frac{9}{64}\pi\ in^2$
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