A quarter circle represents a piece of land. The length of the straight sides is 100 ft each. If the land is enclosed by a fence, what is closest to the length, in feet, of the fence?
Perimeter of a quarter circle = (2πr)/4
r = 100ft
P = (2πr)/4 = (2×3.14×100)/4 = 157
Because we are calculating the length of the fence – as the fence goes around the land – for the two straight sides - the length of the fence will be the same as the length of the sides – 100 ft + 100 ft = 200 ft
Total length of fence = 157ft+200ft = 357ft
