Geometry: Common Core (15th Edition)

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

Chapter 10 - Area - 10-7 Areas of Circles and Sectors - Practice and Problem-Solving Exercises - Page 663: 8


$30.25 \pi \ cm^2$

Work Step by Step

Let $A$ be the area of a circle. The area $(A)$ of a circle whose radius is $R$ is given by: $A=\pi r^2 ...(1)$ We know that the radius is half of the diameter of a circle. That is, $r=\dfrac{d}{2}=\dfrac{11}{2}=5.5$ Plug the data in the equation (1) to obtain: $A=\pi (5.5)^2=\pi(30.25)$ Therefore, we get , $Area=30.25 \pi \ cm^2$
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