SOLUTION: Hi! I'm having trouble with this question Dan Perkin's 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

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Question 839165: Hi! I'm having trouble with this question
Dan Perkin's 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. This patter consists of three-fourths of a circle of a radius 14 feet and one-fourth of a circle of radius 7 feet. What area of grass can Dan Perkin's goat eat? (Use pi=3.14 as an approximate value)
I tried combining the two radius', and tried finding the areas separately then adding. I simply don't know how to write this equation out. Please help.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Area of semicircle with radius 14
1/2 *pi*r^2
1/2 * 3.14 * 14^2
= 307.72
Another quarter circle
1/2 * 307.72
=153.86
=461.58 ft^2......................(1)
area of circle radius = 7
pi*7^2
153.86
1/4 of 153.86
=38.47............................(2)
add (1) & (2)