A car travels 1 kilometre distance in which each wheel makes 450 complete revolutions. Find the radius of the its wheels.

Explanation

Total distance covered in 450 revolutions = 1 km = 100000 cm

Number of complete revolutions a wheel makes = 450

In 1 revolution, distance covered by circular wheel = Circumference of circle = `2 pi r`

Distance covered by circular wheel in 450 revolutions = `2 pi r × 450`

`100000 = 2× pi × r× 450`

`100000 = 900 pi r`

`r = 100000/(900 pi)`

`r = 1000/ (9 × 22/7)`

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