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A circular grassy plot of land, 42m in d...

A circular grassy plot of land, 42m in diameter, has a path 3.5m wide running round it on the outside. Find the cost of gravelling the path at Rs. 4 per square metre.

Text Solution

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Area of path= area of ring`=piR^2-pir^2`
`=pi(R-r)(R+r)`
`=22/7(24.5-21.0)(24.5+21)`
`=500.5m^2`
Cost of 1`m^2`=Rs4
cost of 500.5`m^2`=Rs 2002.
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Knowledge Check

  • A circular grassy plot of land,42m in diameter has a path of 3.5m wide running round it on the outside.Find the cost of gravelling the path at Rs.4 per square metre.

    A
    2000
    B
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    C
    2002
    D
    2003
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