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The radius of a circular garden is 100 m. There is a road 10 m wide, running all around it. Find the area of the road and the cost of levelling it at Rs 20 per m^2. [Use π = 3.14.]

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Question

The radius of a circular garden is 100 m. There is a road 10 m wide, running all around it. Find the area of the road and the cost of levelling it at Rs 20 per m2. [Use π = 3.14.] 

Sum
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Solution

Area of the road = Area of outer circle − Area of inner circle

= πR- πr2

= π [(110)2 - (100)2]

= 3.14 × 2100

= 6594 m2

Cost of levelling the road = Area of the road ⨯ Rate
= 6594 ⨯ 20
= Rs 131880

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Chapter 16: Area of Circle, Sector and Segment - EXERCISE 16A [Page 734]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 16 Area of Circle, Sector and Segment
EXERCISE 16A | Q 51. | Page 734
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