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Question

# A circular fountain of 5 m radius lies alone in the centre of a circular park of 700 m radius. Calculate the total walking area available to pedestrians visiting the park.

A
1,738,981.5 m2
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B
1,538,521.5 m2
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C
1,734,521.5 m2
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D
none of these
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Solution

## The correct option is B 1,538,521.5 m2First concentric circles have commen centre.Here in this Question inner circle is the circular fountain and outer circle is the circular park and D is the pedestrains.Here in figure ,R is the radius of outer circle and r is the radius of inner circle.R=700m and r=5m formula of area = π.radius2 So,Area of inner circle A1=πr2=π52Area of outer circle A2=πR2=7002Area between the two circle = A2−A1=π(7002−52) Area available to pedestrains=1538521.5m2 = therefore option B is the answer.

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