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Question

The area of the circular ring included between two concentric circles of radii 3 cm and 2 cm is:

A
π cm2
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B
13π cm2
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C
10π cm2
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D
5π cm2
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Solution

The correct option is D 5π cm2
Let draw the diagram of the situation given in the question.

Step 1: Given, the radii of the larger circle and the smaller circle are 3 cm and 2 cm respectively.

Area of the larger circle=π×(radius of the larger circle)2
=π×32
=π×9
=9π cm2

Area of the smaller circle=π×(radius of the smaller circle)2
=π×22
=π×4
=4π cm2

Step 2: From the figure, the area of the circular ring is equal to the area of the larger circle minus the area of the smaller circle.
Area of the circular ring = Area of the larger circle Area of the smaller circle
=9π4π
=5π cm2

Hence, option (d.) is the correct choice.

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