Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 8 - Geometry - 8.6 Circles - 8.6 Exercises - Page 575: 32

Answer

Diameter of the Circle: 20 mi Area of the Circle: 314 mi$^{2}$

Work Step by Step

a) We know the circumference of the circle. We simple divide the circumference by $\pi$ to get the diameter. Circumference of a Circle: $C$ = $\pi$$d$ Therefore: 62.8 mi = 3.14$d$ $d$ = 20 mi b) Area of a Circle: $A$ = $\pi$$d$$^{2}$ / 4 $A$ = (3.14)(20 mi)$^{2}$ / 4 $A$ = 314 mi$^{2}$
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