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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 M2. - Mathematics

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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

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 18: Area of Circle, Sector and Segment - Exercise 18A [Page 835]

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RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 51 | Page 835
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