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Question

In the figure, there is a jogging track that has to be renovated. The cost of renovation is Rs. 15 per square meters. For the circular parts, the inner and outer radii are 6 m and 8 m respectively. Find the area highlighted in green colour (in square meters).


A

22

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B

44

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C

66

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D

88

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Solution

The correct option is D

88


There are two semi-circular parts (green parts) which add up to be a complete circle.

So, area of the circular part of the track = π[(outer radius)2(inner radius)2]

=π(8262)=227×14×2=88m2

(Using identity a2b2 = (a + b)(a - b))


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