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Question
In the following figure, the area of the shaded region is
Options
3π cm2
6π cm2
9π cm2
7π cm2
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`
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