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MCQ

In the following figure, the area of the shaded region is

#### Options

3π cm

^{2}6π cm

^{2}9π cm

^{2}7π cm

^{2}

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#### Solution

In the figure,

`∠C=∠B=90°∠and ∠D=60°`

`∴ ∠A+∠B+∠C+∠D=360°`

`∠A+90°+90°+60°=360°`

`∴ ∠A=120°`

Area of shaded region=`θ/360xxpir^2`

∴ Area of shaded region=`120/360xxpixx3^2`

∴ Area of shaded region=`1/3xxpixx9`

∴ Area of shaded region=`3pi`

Therefore, area of the shaded region is `3pi cm^2`

Concept: Area of Circle

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