SOLUTION: A goat is tethered to a corner of a regular hexagonal house which is in the middle of a grassy plain. The hexagon measure ten feet on a side. The rope stretches half way around the

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Question 1066568: A goat is tethered to a corner of a regular hexagonal house which is in the middle of a grassy plain. The hexagon measure ten feet on a side. The rope stretches half way around the hexagon. Find the area of grass that the goat can reach.
Answer by Alan3354(69443) About Me  (Show Source):
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A goat is tethered to a corner of a regular hexagonal house which is in the middle of a grassy plain. The hexagon measure ten feet on a side. The rope stretches half way around the hexagon. Find the area of grass that the goat can reach.
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The 1st sector is radius 10 and a central angle of pi/3 --> area of 10pi/3
The 2nd sector is radius 20 and a central angle of pi/3 --> area of 20pi/3
The 3rd sector is radius 30 and a central angle of 2pi/3 --> area of 20pi
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That's 1/2 the area, = 30pi sq ft, it's symmetrical.
Total area = 60pi sq feet