The circumference of a circle exceeds the
diameter by 33.6 cm. Find the area of the circle.
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Answered by
2
let diameter=X
circumference=X+33.6
c=πd
X+33.6=πx
22x/7=X+33.6
22x=7x+235.2
22x-7x=235.2
15x=235.2
X=235.2/15
X=15.68cm
r=d/2
=15.68/2
=7.84cm
area=πr^2
=22/7×(7.84)^2
=22/7(7.84)(7.84)
=22(1.12)(7.84)
=193.1576cm^2
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Answered by
2
According to the given equation,
Circumference = Diameter + 33.6
=> 2πr = 2r + 33.6
=> 2r(π-1) = 33.6
=> r = 33.6/2(π-1)
=> r = 33.6/4.28
=> r = 7.85 cm
Area of the circle = πr^2
= 3.14*(7.85)^2
= 193.49 cm^2
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