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Snoopy the dog is on a 25-ft long chain that is attached to the back of a barn (see the
picture below). If the chain does not allow him to go past either of the adjacent sides
of the barn, how much space does Snoopy have to roam?
Use pi = 3.14 and round your answer to the nearest tenth.

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altavistard

Answer:

A   = 981.3 ft^2

Step-by-step explanation:

Here we're calculating the area of a semicircle of radius 25 ft.

The area of a circle is A = (pi)(r)^2, and that of a semicircle of the same radius is A = (1/2)(pi)(r)^2.

Here pi = 3.14 and r = 25 ft, and so the area/space in question is

A = (1/2)(3.14)(25)^2

A   = 981.3 ft^2

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