SOLUTION: Dan's goat is attached to the corner of the 16-foot-by 8-foot pump house by an 16-foot length of rope. The goat eats the grass around the pump house. The patter

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Question 1154115:
Dan's goat is attached to the corner of the 16-foot-by 8-foot
pump house by an 16-foot length of rope. The goat eats the grass around the pump
house. The pattern consists of three-fourths of a circle of radius 16 feet and
one-fourth of a circle of radius 8 feet.

What area of grass can Dan's goat eat? (Use pi equals 3.14 )

Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52814) (Show Source):
You can put this solution on YOUR website!
.

Make a sketch;

using your sketch, identify half-circles and quarter-circles accessible for the goat.

Then make simple calculations.

It is VERY simple problem.

There is no transcendent parts in it . . .

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!

653.12 ft2
Check the math

SOLUTION: Dan​'s goat is attached to the corner of the 16-foot-by 8​-foot pump house by an 16-foot length of rope. The goat eats the grass around the pump house. The patter

SOLUTION: Dan's goat is attached to the corner of the 16-foot-by 8-foot pump house by an 16-foot length of rope. The goat eats the grass around the pump house. The patter