Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - 3.5 - Problem Solving - Problem Set 3.5: 16

Answer

The radius of the circle equals 8 cm.

Work Step by Step

Let X represent the length of the radius. The circumference of a circle is 2.24 centimeters more than six times the length of a radius. This equals 6 $\times$ X + 2.24 = 6X + 2.24. The circumference of the circle is 2 $\times$ $\pi$ $\times$ X = 2 $\times$ 3.14 $\times$ X = 6.28X Since it also equals 6X + 2.24, we can set up the following equation: 6X + 2.24 = 6.28 X 2.24 = 0.28X Divide both sides by 0.28. X = 8 The radius of the circle equals 8 cm.
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