Question #5a8c8

1 Answer
Grimalkyne
Jan 19, 2018

The total of the lawn is #3817.555m^2#

Explanation:

The area of the rectangle is #42m *35m =1470m^2#

There are two semi circles of diameter 42m and two semi-circles of diameter 35m

That makes one full circle of each diameter

the larger circle has a diameter of 42m so has a radius of 21m
the smaller circle has a diameter of 35m so has a radius of 17.5m

the area of a circle is given by
#Pir^2#
Substitute in the radius for the larger circle
#Pi*21m*21m ~= 1385.442m^2#
Substitute in the radius for the smaller circle
#Pi*17.5m*17.5m ~= 962.113m^2#

The total for the three sections is
#1470+1385.442m^2+962.113m^2 = 3817.555m^2#

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