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 gr
ass 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
5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.
