The outermost circumference of a circular track is 194.68 m and the track is everywhere 6m wide.Find the cost of levelling the track at the rate of 25 paisa per m.
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Answer:
₹527.43
Step-by-step explanation:
Outer Circumference of track:- 194.68 m
So,
Outer Radius:-
R = 194.68/2π = 97.34/π = 30.97 m
Now,
Width of track:- 6 m
So,
Inner radius:-
r = 24.97 m
Now,
Area of track:-
A = 2π(R²-r²) = 2π(335.64) = 2109.73 m²
Now,
Cost of levelling:- 25p/m² = ₹0.25 / m²
So,
Total cost:-
Cost per m² * Total area of track
0.25 * 2109.73 = ₹527.43
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