A bicycle covers a distance of 11 km. It takes 5000 rounds to cover this distance. Find the diameter of the wheel.

Correct option is D

Given:

Distance covered = 11 km = 11,000 m
Number of rounds = 5000

Formula Used:

1. Circumference of the wheel:
​$$\text{Circumference} = \frac{\text{Distance covered}}{\text{Number of rounds}}$$​

2. Relationship between circumference and diameter:
​$$\text{Circumference} = \pi \times \text{Diameter}$$​

Solution:

1. Calculate the circumference of the wheel:
Circumference = $$\frac{11,000}{5000} = 2.2 \, \text{m}$$​

2. Use the formula for circumference to find the diameter:
Diameter = $$\frac{\text{Circumference}}{\pi}$$​
Substituting the values:
Diameter = $$\frac{2.2}{3.1416} \approx 0.7 \, \text{m} = 70 \, \text{cm}$$​

Final Answer:

The diameter of the wheel is **70 cm**