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In the Following Figure, the Area of the Shaded Region is - Mathematics

MCQ

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

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  •  3π cm2

  • 6π cm2

  • 9π cm2

  • 7π cm2

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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`

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Q 38 | Page 73
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