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Question

Area of the shaded regions in given figure is 25(6π)cm2and diameter of semicircle drawn inside the given rectangle is 10 cm. Then the shortest distance between the two semicircles in (in cm)


A

5

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B

10

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C

15

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D

20

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Solution

The correct option is A

5


Shaded area can be written as (a.bπr2)=25(6π), where a and b are sides of the rectangle and r is the radius of the semicircle. Here r=a2=5 cm. Solving above equation we get b=15 cm. Hence shortest distance will be (152r)=(152.5)=5cm


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