Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.4 Area and Circumference - Exercise Set 10.4 - Page 649: 48

Answer

The length of the fringe required to edge the rug of diameter \[6\text{ ft}\text{.}\] is\[18.84\text{ ft}\text{.}\].

Work Step by Step

For the computation of the length of fringe required, we need to find the circumference of the circular rug. Compute the circumference (c) of the rug as mentioned below: \[\begin{align} & C=2\pi r \\ & =2\times \pi \text{ 3 ft}\text{.} \\ & =6\pi \text{ ft} \\ & \approx 18.85\text{ ft}\text{.} \end{align}\] Hence, the length of fringe required to edge the rug of diameter \[6\text{ ft}\text{.}\] is\[18.85\text{ ft}\text{.}\].
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