Question 77

What is the area (in sq. cms) of the shaded portion of the following diagram in which each side of the triangle is 14 cms and its vertices being the centres of three mutually touching circles?

Solution

Radius of circle is$$=14/2=7cm.$$

From the picture we can say that area of the shaded region is$$=(1/3)×3×area$$.

So, required area$$=π×7^2=154$$.

D is correct choice.

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