Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set: 16

Answer

The diameter of the circle is 63 centimeters.

Work Step by Step

Let x represent the diameter of the circle that we need to find. Now, let’s set up a proportion with the ratio given and a ratio which compares the circumference of the circle to the diameter of the circle. $\frac{22}{7}$ = $\frac{198}{x}$ To solve this equation, we equate the cross products. 22 $\times$ x = 7 $\times$ 198 22x = 1386 Divide both sides by 22. x = 63 The diameter of the circle is 63 centimeters.
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