the diameter of a circular Park is 24 m a 3 metre wide path runs around it from inside find the cost of a paving the path at rupees 25 per metre square
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Since the Diameter= 24m. The Radius will be = D/2= 24/2 = 12m.
It is given that a 3m wide path runs around it from 'inside'. Therefore, the Radius of the bigger circle will be 12-3= 9m
Area of bigger circle= pi r²
= 22/7 * 12 * 12 = 452.57m²
Area of smaller circle = pi r²
= 22/7 * 9 * 9 = 254.57m²
So the area of path= Area of bigger circle- Area of smaller circle
= 452.57- 254.57
= 198 m²
The total cost= 198* 25= Rs. 4950
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