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Find the area of the shaded region in fig- where $APD^$ $AQB^, BRC^$ and $CSD^$ are semicircles of diameter 14 cm, 3.5 cm, 7 cm and 3.5 cm respectively.

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74.89

c m 2

78.45

c m 2

86.62

c m 2

94.87

c m 2

answer is C.

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Detailed Solution

It is given that the diameters of semicircles are APD = 14 cm, BRC = 7 cm, AQB = 3.5cm and CSD = 3.5cm.
We have to find the area of the shaded region.
The area of a semi-circle can be expressed as

A = 12 π r 2

. Here

r

is the radius of a circle.
So, the area of shaded region is,
Question Image

The shaded region is 86.62

c m 2

.
Therefore, the correct option is 3.

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