“Scram, you can’t catch me!” yelled the thief. While running to escape, his shirt skewered a box of nails. He ripped free, but skidded to a stop as he passed a policeman. He tried to run again, then cowered in fright. Crime doesn’t pay.
Farmer Finnegan needs to build a fence to keep his horses on his property. He only has a little over 1.5 miles of fence materials, but there’s also a mile-long straight river running through his property. What shape should he use for the fenced in area to give his horses the most space possible?
Our dear friend Finnegan should build a half-circle fence with the river as the diameter, giving the horses about 0.4 square miles to frolic and play in.
Area of semi-circle = πr2 / 2 = π × .5 miles2 / 2 = 0.3927