When a particle completes one full revolution in circular motion, how many radians of angle does it cover?

• A. $360$
• B. $2\pi$
• C. $180$
• D. $\pi$

Answer: (B)

Verified step by step guidance

1. Recall that one full revolution in circular motion corresponds to a complete circle, which is 360 degrees.
2. Understand that radians are another way to measure angles, based on the radius of the circle and the length of the arc.
3. Use the conversion formula between degrees and radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
4. Apply this formula to 360 degrees: \$360 \times \frac{\pi}{180}$.
5. Simplify the expression to find the angle in radians covered in one full revolution.