Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - 2-5 Reasoning in Algebra and Geometry - Practice and Problem-Solving Exercises - Page 119: 31


$153.86\ m^2$

Work Step by Step

Use the formula for the circumference of a circle to find the radius of the flowerbed. $C=2\pi r\longrightarrow$ substitute the given values $14\pi=2\pi r\longrightarrow$ divide each side by $2\pi$ $7=r$ Use the formula for the area of a circle and substitute the radius to find the area of the flowerbed. $A=\pi r^2=3.14\times(7^2)=3.14\times49=153.86$
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