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Q.

The ratio of the perimeter of the shaded region to the circumference of the circle is

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a

34

b

4+π2π

c

2π4+π

d

4+π4π

answer is B.

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Detailed Solution

Perimeter of shaded region  =2πr4+2r

=πr2+2r=r2π+4

∴required ratio =r(π+4)2.2πr=π+44π

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The ratio of the perimeter of the shaded region to the circumference of the circle is