the inner circumference of a circular racing track is 1760 m. the width of the track is 21 m . find . the cost of levelling the track at the rate of ₹4 per square m . the cost of laying grass in inner part at the rate of ₹10 per square m
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Inner circumference of circular track = 264 m
(i) Inner radius r = \frac{C}{2\pi}
=\frac{264\times7}{2\times22}=\frac{1848}{44}=42\ cm
(ii) Width of track = 7m
Outer radius R = 42 + 7 = 49 m
(iii) Outer circumference = 2\pi r=2\times\frac{22}{7}\times49=308\ m
(iv) Rate of fencing = 50 Rs per meter
Total cost of fencing outer circumference = 50 x 308 = Rs. 15400
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