Question

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

Options

•  3π cm²

• 6π cm²

• 9π cm²

• 7π cm²

Answer 1

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`