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?

  • Google+ icon
  • LinkedIn icon

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 

Gift W. GCSE Maths tutor, IB Geography tutor, IB Economics tutor, GCS...

About the author

is an online GCSE Maths tutor with MyTutor studying at Durham University

Still stuck? Get one-to-one help from a personally interviewed subject specialist.

95% of our customers rate us

Browse tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss