A farmer has a fence that encloses a square plot with an area of 36 sq. m. If the farmer uses this fence to enclose a circular flower garden, what will the area of the garden be?

1 Answer
Aug 23, 2015

Answer:

#=color(blue)(45.82m^2#

Explanation:

The area of the plot (square) = #36m^2# so the side of the square
#=sqrt36 = 6m#

So the perimeter that the fence covers = #4*side = 4*6 = 24m#

This value is basically the entire length of the fence used.

Now since the same #24m# is used to fence a circular area , the perimeter of the circular area can be equated to #24m#

#2pir=24m#
#2 xx 3.14 xx r=24#
# r=24/6.28#
#r=3.82m#

Now that we have the radius we can find the area of the circular plot:
area #=pi xx r^2#
#=3.14 xx 3.82^2#
#=color(blue)(45.82m^2#