SOLUTION: A man has a barn that is 20 ft by 10 ft. He tethers a cow to one corner of the outside of the barn using a 50-ft rope. What is the total area that the cow is capable of grazing

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Question 80809: A man has a barn that is 20 ft by 10 ft. He tethers a cow to one corner of the outside of the barn using a 50-ft rope.
What is the total area that the cow is capable of grazing?

Please show me how you got the answer as well thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the picture. Draw the post (center) and the circle with 50 ft radius.
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.