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Question
The wheels of a car make 2500 revolutions in covering a distance of 4.95 km. Find the diameter of a wheel.
Solution
Distance = 4.95 km = 4.95 × 1000 × 100 cm
∴ Distance covered by the wheel in 1 revolution `= "Total distance covered"/"Number of revolutions"`
`=(4.95xx1000xx100)/2500`
= 198 cm
Now,
Circumference of the wheel = 198 cm
⇒ 2πr = 198
`⇒ 2 ×22/7xx"r" = 198`
`=> "r" =(198xx7)/44`
⇒ r = 31.5 cm
∴ Diameter of the wheel = 2r
= 2(31.5)
= 63 cm
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