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Question

If the perimeter of a semi circle is 144 cm, what is its area?

A
1232 cm2
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B
1223 cm2
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C
1322 cm2
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D
1323 cm2
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Solution

The correct option is A 1232 cm2
Given perimeter of a semicircle = 144 cm
Let r be the radius of the semicircle.

Perimeter of semicircle = 2r (Straight line diameter) + πr (Curved surface)

πr+2r=144

r(π+2)=144

r(227+2)=144

r(22+147)=144

r×367=144r=28cm

Area of semicricle

=12πr2=12×227×28×28

=1232cm2

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