the diameter of the circular Park is 84 metre in order to do jogging and morning walk society people plan to construct a 3.5 m wide track outside and around it. the constructor is charging rupees 200 per metre square kindly help the society members to calculate that how much money they need to contribute jointly
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shivananthninja:
Rs 185900 i got this answer
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Answer:Hi,
Let the diameter of the
circular park ( D ) = 84 m
Radius of the park ( R ) = D/2
R = 84/2 = 42 m
If the width of the path outside the
park ( w ) = 3.5 m
Radius of the outside circle (r ) = R + w
r = 42 + 3.5 = 45.5 m
Area of the path ( A ) = πr² - πR²
= π(r²- R²)
= A = π(r + R ) (r - R )
= π ( R + r ) w
= ( 22 /7 ) ( 42 + 42.5 ) ( 3.5 )
A = 929.5 m²
Cost of the paving the per square
meter = Rs 200
Cost of paving total area of the path
=200 ×929.5
= Rs 185900
I hope this helps you.
:)
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