Question

Suppose a goat was tethered at the middle of a 100-foot-long fence and the length of the rope was 50 feet, as shown in the diagram below. Over how much area could the goat graze? (Round your answer to two decimal places.)
What if the point at which the goat was tethered was at the middle of a 50-foot-long fence, as shown in the diagram below? Over how much area could the goat graze? (Round your answer to two decimal places.)

Answer 1

The area the goat can graze is 1/2π(50)²= 1250π sq. feet

The rope length is 50 feet again, thus the results are the same.
 
1/2π(50)²= 1250π sq. feet