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Question

Rahul divides a circular disc of radius 7 cm into two equal parts. What is the perimeter of each semi-circular disc?

A
32 cm
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B
35 cm
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C
36 cm
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D
42 cm
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Solution

The correct option is C 36 cm
When the circular disc is divided into two equal parts, we get two semi-circular discs.

Now, the perimeter of each semi-circular disc thus obtained is given by

12× Perimeter of the circle + Diameter

[Since diameter of the circle will also be a part of the semi-circular disc]

Perimeter of the semi-circle

=12×2πr+2r
=πr+2r=r(π+2)
=7×(227+2)
=36 cm

Therefore, perimeter of each semi-circular disc is 36 cm.

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