16. The Inner circumference of a circular track is 330 m. The track is 7 m wide everywhere
Calculate the cost of fencing the outer circle at the rate of 12 per metre.
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Inner circumference of the circular track
= 264 m
(i) ∴ Inner radius (r) = c/2π
= (264 × 7)/(2 × 22) = 1848/44 = 42 cm
(ii) Width of the track = 7 m
∴ Outer radius (R) = 42 + 7 = 49 m
(iii) Outer circumference = 2πR
= 2 × (22/7) × 49 = 308 m
(iv) Rate of fencing = ₹ 50 per metre
∴ Total cost of fencing outer circumference
= ₹50 × 308 = ₹ 15,400
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