Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.6 Circles - 8.6 Exercises: 9

Answer

$Circumference \approx 8.2$ m $Area \approx 5.3$ m$^{2}$

Work Step by Step

1. Find the circumference of the circle using the formula $= \pi \times diameter$ Let $C =$ the circumference of the circle $C = \pi \times 2.6$ $C = 3.14 \times 2.6$ $C = 8.164$ m $C \approx 8.2$ m 2. Find the area of the circle using the formula $= \pi r^{2}$ Let $A =$ the area of the circle $A = \pi (r)^{2}$ $A = (3.14)(\frac{2.6}{2})^{2}$ (Since radius $= \frac{diameter}{2}$) $A = (3.14)(1.3)^{2}$ $A = (3.14)(1.69)$ $A = 5.3066$ m$^{2}$ $A \approx 5.3$ m$^{2}$
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