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: 49

Answer

$6.25\pi$

Work Step by Step

Use the distance formula to find the diameter. $d=\sqrt{(5-2)^2+(5-1)^2}$ $d=\sqrt{(3)^2+(4)^2}$ $d=\sqrt{9+16}$ $d=\sqrt{25}$ $d=5$ The radius(r) is half the diameter, so r=2.5. Use the formula for the area of a circle. $A=\pi r^2=\pi (2.5)^2=\pi (6.25)=6.25\pi$
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