SOLUTION: If there is a goat tied to a rectangular barn on a 50 foot lead and the barn is 20 feet by 20 feet (floor), what is the maximum grazing area? If there are regions you can't find th

Question 80804: If there is a goat tied to a rectangular barn on a 50 foot lead and the barn is 20 feet by 20 feet (floor), what is the maximum grazing area? If there are regions you can't find the area of, provide as good an estimate as you can.
Assume the goat is tied to a corner outside the barn, cannot get in, and that the barn is not grazing area.
Thank you and could you please show me how you got the answer to be what it is?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If there is a goat tied to a rectangular barn on a 50 foot lead and the barn is 20 feet by 20 feet (floor), what is the maximum grazing area? If there are regions you can't find the area of, provide as good an estimate as you can.
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Draw the picture; Draw a circle with a 50' radius with its center at the
post. Draw the corner of the barn that cuts off 1/4 of the area of the circle.
Now do the math:
Area of the circle = (pi)50^2 sq ft. = 2500(pi) sq ft
Only (3/4)(2500(pi)) is available for grazing.
That area is 1875(pi) sq ft = 5890.49 sq ft
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Cheers,
Stan H.
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