The area of the circular ring included between two concentric circles of radii 3 cm and 2 cm is:
A
πcm2
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B
13πcm2
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C
10πcm2
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D
5πcm2
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Solution
The correct option is D5πcm2 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 =9πcm2
Area of the smaller circle=π×(radius of the smaller circle)2 =π×22 =π×4 =4πcm2
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 =9π−4π =5πcm2