Thinking Mathematically (6th Edition)

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

Chapter 10 - Geometry - Chapter Summary, Review, and Test - Review Exercises: 49

Answer

Around 31 yards of fencing are needed.

Work Step by Step

The circular garden measures 10 yards across. This means that the diameter of the garden is 10 yards. The perimeter of a circle is its circumference. The circumference $C$ of a circle can be found using the formula $C=2\pi{r}$ where r = radius. The radius of a circle is one-half of the circle's diameter. Thus, the radius of the garden is: $r = \frac{1}{2}(10) = 5$ yards Solve for the circumference of the circle using the formula above to obtain: $C=2\pi(5) = 10\pi \approx 31.4159$ yards Therefore, there is a need for around 31 yards of fencing.
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