Question

A car travels 1 km distance in which each wheel makes 450 complete revolutions. find the radius

Answer 1

Given, Total distance covered by the wheel =1 km=1000m, radius of the wheel =r(say)
Also, distance covered by a wheel in 450 revolutions = total distance covered by the wheel.
So, distance covered by a wheel in 1 revolution = circumference of the wheel = 2πr
So, distance covered by a wheel in 450 revolutions = 450 × 2πr.
So, 450 × 2πr = 1000
=> r =1000/900π
=>r= 0.35m.

Answer 2

Answer:

The radius of the wheel of a car is 35.35 cm

Step-by-step explanation:

Given :  

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

[1 km = 100000 cm]

Number of complete revolutions a wheel makes = 450  

In 1 revolution, distance covered by circular wheel = Circumference of circle = 2πr

Distance covered by circular wheel in 450 revolutions = 2πr × 450

[Circumference of circle ,C = 2πr]

100000 = 2× π × r× 450

100000 = 900πr  

r = 100000/ 900π

r = 1000/ (9 × 22/7)

r = 1000 × 7 / (9 × 22)

r = 500 × 7 / (9 × 11)

r = 3500/99

r = 35.35 cm

Radius of the wheel of a car = 35.35 cm

Hence, the radius of the wheel of a car is 35.35 cm

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