A farmer has a square lot that is 200 feet on each side. She has a very powerful sprinkler
that sprays water in a circle. She doesn’t want to waste any water, so she’ll set her sprinkler
so that it doesn’t spray any water outside her lot. What is the largest percentage of her lot
that she can water? (Answer to the nearest whole percent.)
Hmm lets see we just find the area of a circle that is smaller then 200. Which is 153.86. then you put 153.86/200 which is about 77%.
Circle with diameter of 200 ft radius = 100 ft area = pi r^2 = 10000 pi
10000 pi / (area of lot) x 100% = 78.53 %