Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 12 - Section 12.5 - Circles - Exercise - Page 410: 22

Answer

$d=12.0~in$

Work Step by Step

To find the diameter of the metal duct, we use the formula for the area of a circle: $A=\frac{\pi*d^{2}}{4}$ where we have the area: $A=113~in^{2}$ Solving for the diameter, $d$, gives: $A=\frac{\pi*d^{2}}{4}$ $d=\sqrt {\frac{4A}{\pi}}=\sqrt {\frac{4(113in^{2})}{\pi}}=11.99~in\approx12.0~in$
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