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 

GW

Related Maths GCSE answers

All answers ▸

How to find the coordinates of the turning points of a curve on a graph


How do I find the roots of a quadratic equation?


A right-angled triangle has two smaller sides of length 5cm and 12cm. What is the length of the hypotenuse?


Solve (11-w)/4 = 1 + w