Question

The distance covered by a wheel of radius 14 cm in 5 revolutions is

• A. 400 cm
• B. 440 cm
• C. 288 cm
• D. 388 cm

Hint:

The distance covered by a wheel in revolutions is the number of revolutions multiplied by the circumference of the wheel.

Answer 1

The Correct Option is B

Step 1: The distance covered in one revolution of a wheel is equal to the circumference of the wheel. The formula for circumference is: \[ C = 2\pi r \] Step 2: Substituting the given radius \( r = 14 \, \text{cm} \): \[ C = 2 \times \pi \times 14 = 28\pi \, \text{cm} \] Step 3: The distance covered in 5 revolutions is: \[ \text{Distance} = 5 \times 28\pi = 140\pi \, \text{cm} \] Using \( \pi \approx 3.14 \): \[ \text{Distance} \approx 140 \times 3.14 = 440 \, \text{cm} \] Thus, the correct answer is \( \boxed{440 \, \text{cm}} \).