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
Answered by Gift W. Maths tutor

6992 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand and simplify (3x-1)(2x+1)(5-x)


Find the equation of the line that passes through ( 5 , -4 ) and (3,8).


Use these 2 simultaneous equations to find x & y: 5y+21=9x and 6x+7y=45


What is 2 1/5 + 1 3/4


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning