Dan Perkins goat is attached to the corner of the 8-foot-by-4-foot pump house by QN 8-foot length of rope. The goat eats the gra
ss around the pump house. The pattern consists of three-fourths of a circle of radius 8 feet and one-fourth of of a circle of the radius 4feet. What area of the grass can Dan Perkins's goat eat?
The goat is tied in the four corners of an 8-foot by 4-foot pump house. The rope is 8 feet. The goat is eating the grass, forming a circle The pattern is 3/4 of a circle radius 8 and 1/4 of a circle radius 4.
Getting the area of radius of 8 feet Area = pi * r^2 Area = pi * 8^2 Area = 201.06 feet^2
Getting the area of radius of 4 feet Area = pi * r^2 Area = pi * 4^2 <span>Area = 50.27 feet^2 </span> 3/4 of 201.06 = 150.80 feet ^2 1/4 of 50.27 = 12.60 feet^2
