Asked by Al
A dog is attached to a 2121-foot rope fastened to the outside corner of a fenced-in garden that measures 1818 feet by 2323 feet. Assuming that the dog cannot enter the garden, compute the exact area that the dog can wander.
Answers
Answered by
oobleck
Draw the figure. The dog can wander in 3/4 of a circle of radius 2122
and also, after it wraps past the short side of the fence, a 1/4 circle of radius 303.
So the total play area is 3/4 * π * 2121^2 + 1/4 * π * 303^2
and also, after it wraps past the short side of the fence, a 1/4 circle of radius 303.
So the total play area is 3/4 * π * 2121^2 + 1/4 * π * 303^2
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