Fido the dog is on a 16.7-ft chain that is attached to the middle of the back of a barn, as shown in the picture below. The chain does not allow him to go past either of the adjacent sides of the barn, thereby allowing him to roam all the space inside 1/2 of a circle. How much area does Fido have to roam?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Fido the dog is on a 16.7-ft chain that is attached to the middle of the back of a barn, as shown in the picture below. The chain does not allow him to go past either of the adjacent sides of the barn, thereby allowing him to roam all the space inside 1/2 of a circle.

How much area does Fido have to roam?

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