How many radians are in a full circle?

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

Answer: (A)

Verified step by step guidance

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