SOLUTION: Two fences in a field meet at 120 degrees. A cow is tethered at their intersection with a 15-foot rope, as shown in the figure. Over how many square feet may the cow graze?

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Question 104629This question is from textbook saxon algebra 2
: Two fences in a field meet at 120 degrees. A cow is tethered at their intersection with a 15-foot rope, as shown in the figure. Over how many square feet may the cow graze? This question is from textbook saxon algebra 2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Two fences in a field meet at 120 degrees. A cow is tethered at their intersection with a 15-foot rope, as shown in the figure. Over how many square feet may the cow graze?
:
First, find the area the cow could graze if there were no fence, just a circular area with 15' radius
:
A = pi*15^2
A = pi*225
A = 706.85 sq ft
:
The portion of the circle limited by the fence would be:
120%2F360 = 1%2F3 * 706.85 = 235.62 sq ft