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Question
The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometer?
Solution
The circumference of a circle is given by:
Circumference = π × Diameter.
Here, the diameter of the wheel is 70 cm. Substituting the value of π ≈ 3.1416
Circumference = 3.1416 × 70 = 219.91 cm
Since 1 km = 1000 m = 1000 × 100 = 100,000 cm, the total distance to be traveled is:
1 km = 100,000 cm.
The number of revolutions is the total distance divided by the circumference of the wheel:
Number of revolutions = `("Total distance")/("Circumference") = 100000/219.91`
Number of revolutions ≈ 454.74.
The wheel will make approximately 455 revolutions to travel 1 km.
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