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

7198 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you solve inequalities when you have two inequality symbols in the expression, e.g. 4x - 6 < 14 < 3x + 2


Show that 12 cos 30° - 2 tan 60° can be written in the form√ k where k is an integer


How do I solve simultaneous equations by substitution?


Solve the simultaneous equations 4x + 5y = 13 and 3x - 2y = 27.


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:

© 2026 by IXL Learning