The radius of a circular wheel is 42 cm. Find the distance traveled by it in :

(i) 1 revolution

(ii) 50 revolutions

(iii) 200 revolutions

(i) Given:

The radius of a circular wheel = 42 cm = 0.42 m

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

$2 \times \dfrac{22}{7} \times 0.42\\[1em] = \dfrac{44}{7} \times 0.42\\[1em] = \dfrac{18.48}{7}\\[1em] = 2.64 \text{ m}$

Hence, the distance traveled by wheel in 1 revolution is 2.64 m.

(ii) Distance traveled by wheel in 50 revolutions = Circumference of the wheel x 50

= 2.64 x 50 m

= 132 m

Hence, the distance traveled by wheel in 50 revolutions is 132 m.

(ii) Distance traveled by wheel in 200 revolutions = Circumference of the wheel x 200

= 2.64 x 200 m

= 528 m

Hence, the distance traveled by wheel in 200 revolutions is 528 m.