the diameter of a circular Park is 13 A road of 2 metres wide runs around it find the cost of gravelling the road at rupees 5 per metre square
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Answer:
Let the diameter of the
circular park ( D ) = 13 m
Radius of the park ( R ) = D/2
R = 13 /2 =6.5
If the width of the path inside the
park ( w ) = 2m
Radius of the inside circle (r ) = R - w
r = 6.5 -2 = 4.5 m
Area of the path ( A ) = πR² - πr²
A = π(R + r ) (R - r )
= π ( R + r ) w
= ( 22 /7 ) ( 6.5 + 4.5 ) ( 2 )
= 22 * 5.56 *2
A = 244.64(approx)
Cost of the paving the per square
meter = Rs 5
Cost of paving total area of the path
=5*244.64
= Rs1224.8
I hope this helps you.
:)
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