# A bicycle wheel makes 500 revolutions in moving 1 km. Find the diameter of the wheel.

**Solution:**

If the radius of the bicycle wheel, the distance it moves in one revolution = __Circumference__ of the bicycle wheel = 2πr

Where r = radius of the bicycle wheel

The distance moved by the bicycle wheel in 500 revolutions = 1 km

Hence we can write

500 × 2πr = 1km = 1000m

1000 × πr = 1000

πr = 1

r = 1/π m

Diameter = 2/π m

**✦ Try This: **A bicycle wheel makes 500 revolutions in moving 2 km. Find the diameter of the wheel.

If the radius of the bicycle wheel, the distance it moves in one revolution = Circumference of the bicycle wheel = 2πr

Where r = radius of the bicycle wheel

The distance moved by the bicycle wheel in 500 revolutions = 2 km

Hence we can write

500 × 2πr = 2km = 2000m

1000 × πr = 2000

πr = 2

r = 2/π m

Diameter = 4/π m

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 11

**NCERT Exemplar Class 8 Maths Chapter 11 Problem 73**

## A bicycle wheel makes 500 revolutions in moving 1 km. Find the diameter of the wheel.

**Summary:**

A bicycle wheel makes 500 revolutions in moving 1 km. The diameter of the wheel is 2/π

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