if a goat is tethered to the outside corner of a barn by a 18 foot rope, what is the maximum area of grass the goat can eat? (the barn walls form a right angle)

Question

if a goat is tethered to the outside corner of a barn by a 18 foot rope, what is the maximum area of grass the goat can eat? (the barn walls form a right angle)

Answer 1

Draw a barn with a goat on a rope.

The goat eats a region that is 3/4 of a circle with radius 18.

 

A = π(18)²

A = 324π

 

That is the whole circle

What the goat eats is

 

(0.75)(324π)

243π