The diameter of a circular wheel is 56 cm. The distance moved by it in 100 rounds is :

1. 176 cm

2. 17600 cm

3. 1760 cm

4. 352 cm

Given:

The diameter of a circular wheel = 56 cm

Total number of rounds = 100

Since diameter = 2 x Radius

⇒ Radius = $\dfrac{\text{Diameter}}{2}$

⇒ Radius = $\dfrac{56}{2}$

= 28 cm

As we know, the circumference of a circle = 2πr

$= 2 \times \dfrac{22}{7} \times 28\\[1em] = \dfrac{44}{7} \times 28\\[1em] = \dfrac{1,232}{7}\\[1em] = 176 \text{ cm}$

Total distance = circumference of the circle x number of rounds

= 176 x 100

= 17600 cm

Hence, option 2 is the correct option.