Dan perkins goat is attached to the corner of the 14-foot-by-7-foot pump house by a 14-foot length of rope. the goat eats the grass around the pump house as shown in the diagram. this pattern consists of three-fourths of a circle of radius 14 feet and one-fourth of a circle of radius 7 feet. what area of grass can dan perkins goat eat? use 3.14 as an approximate value

The goat is tied in the four corners of an 14-foot by 7-foot pump house. The rope is 14 feet. The goat is eating the grass, forming a circle The pattern is 3/4 of a circle radius 14 and 1/4 of a circle radius 7.
Getting the area of radius of 14 feet
Area = 3.14 * r^2
Area = 3.14 * 14^2
Area = 615.44 feet^2

Getting the area of radius of 7 feet
Area = 3.14 * r^2
Area = 3.14 * 7^2
Area = 153.86 feet^2

3/4 of 615.44 = 416.58 feet ^2
1/4 of 153.86 = 38.465 feet^2

So the total area is 500.045 feet^2