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Find the area of the shaded region.

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answer is D.

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Detailed Solution

In this question we need to find the area of the shaded region and the shaded region consist of 3 semi-circle,
Area of Semicircle =

the area of semicircle (i) for which radius= 7cm
Area of Semi-Circle (i)

Now since we all know that semicircle (i) and semicircle (ii) are identical since they are having same radius and hence therefore the Area of semicircle (i) and semicircle (ii) will be same
Therefore, Area of semicircle (ii)

Now we have to find the area of semicircle (iii) for which the radius =14 cm
Area of semicircle (iii) ==

Therefore, on putting the value of

we have
Area of the shaded region=

We have the area of the shaded region is

So, option 4 is correct.

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Find the area of the shaded region.

Find the area of the shaded region.

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