How many radians are in half of a circle?

• A. $\frac{\pi }{2}$
• B. $\pi$
• C. $\frac{3}{2}\pi$
• D. $2\pi$

Answer: (B)

Verified step by step guidance

1. Recall that the total angle measure of a full circle in radians is given by the formula \$2\pi$ radians.
2. Understand that half of a circle corresponds to half of the total angle measure of the full circle.
3. To find the radians in half of a circle, divide the total radians of the full circle by 2, which gives \(\frac{2\pi}{2}\).
4. Simplify the expression \(\frac{2\pi}{2}\) to get \(\pi\) radians.
5. Therefore, half of a circle measures \(\pi\) radians.