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Area of a Circular Ring

The area betw...

Question

The area between two concentric circles of radii $r_{1}$ and $r_{2},$ is equal to [ $r_{2} > r_{1}$ ]

A

zero

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B

π r_{1}^{2}

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C

π r_{2}^{2}

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D

πr22-πr12

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Solution

The correct option is D πr22-πr12
The area between two concentric circles is shaded in blue as shown in the figure:
Area of the shaded region $=$ Area of bigger circle $-$ Area of smaller circle.
$= π r_{2}^{2} - π r_{1}^{2}$

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