Question

The radius of a wheel is 3 m. Find the distance traveled by a point on the boundary of the wheel in 50 revolutions.

• A. $300\text{m}$
• B. $300\pi \text{m}$
• C. $150\pi \text{m}$
• D. $150\text{m}$

Answer 1

The correct option is B $300\pi \text{m}$

Step 1: Given, the radius of the wheel is $3$ m.

The circumference of the circle is given by $C=2\pi r,$ where $r$ is the radius of the circle.
$\therefore C=2\pi \times 3$
$=6\pi \text{m}$

Step 2:
As the point lies on the boundary of the wheel, the distance travelled by it in one revolution is equal to the circumference of the wheel.


$\therefore \text{Distance traveled in 50 revolutions = 50}\times \text{The circumference of the circle}$
$=50\times 6\pi$
$=300\pi \text{m}$