Four hundred meter of fencing are required to enclose a square field .what area can be enclosed by the same length of fencing if the enclosure is circular?

1 Answer
Karthik N
May 1, 2018

#= 40000/pi m^2#
#~~12732.395 m^2#

Explanation:

The length of the fencing is #400m#. So we must find the area of a circle with circumference# ~~ 400m#. Note that due to the transcendental nature of #pi#, the exact value cannot be calculated.
#2pir = 400#
#implies r = 200/pi#

Area of a circle equals #pir^2#
#= pi(200/pi)^2#
#= pi(40000)/pi^2#
#= 40000/pi m^2#
#~~12732.395 m^2#

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