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Q.

The area of the shaded portion in the given figure is

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a

$6.5 π sq. units$

b

None

c

$4.5 π sq. units$

d

$3.5 π sq. units$

answer is B.

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Detailed Solution

$R = 5, W = 1 r = R - W$

$= 5 - 1 = 4$

Area of shaded portion

$= \frac{π}{2} (R^{2} - r^{2}) = \frac{π}{2} (5^{2} - 4^{2})$

$= \frac{π}{2} \times 9 = 4.5 π sq.units$

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The area of the shaded portion in the given figure is