Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.4 - Circumference and Area of a Circle - Exercises - Page 374: 36

Answer

38.19 yd

Work Step by Step

Given A track is to be constructed around the football field at a junior high school. If the straightaways are 100 yd in length, The total length around the track is 440yd The total length of the track = 100 +100 + 2*Circumference of the two semi circles = 100 + 100 + 2$\frac{2\pi r}{2}$ 440 yd = 200 + 2($\pi$ r) 2($\pi$ r) = 440 -200 2($\pi$ r) = 240 $\pi$ r = $\frac{240}{2}$ r = $\frac{120}{\pi}$ = 38.19 yd
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