The inner circumference of a circular track is 264 and the which of the track is 7 calculate the cost of putting up a pencil on the outer circle of the track at the rate of rupees 3. 50 per metre (ii) also find the area of the track.
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Step-by-step explanation:
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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