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Question

A polygon is drawn inside a circle of radius 7 cm.

What is the area of the shaded region (in cm2) if the area of the polygon is 24picm2?


  1. 24π cm2

  2. 25π cm2

  3. 49π cm2

  4. 7π cm2


Solution

The correct option is B

25π cm2


Given that area of the polygon is 24πcm2.

To find the area of the shaded region, we have to find the area of the circle and remove the area of the polygon from it.

Area of the circle = πr2=π(7)2=49π cm2

So, area of the shaded region = (49π cm224π cm2)=25π cm2

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