1. The problem asks for the radian measure of one of the 12 equal central angles in a circle.
2. The total angle around a point (circle) is $2\pi$ radians.
3. Since the circle is divided into 12 equal parts, each central angle is given by the formula:
$$\text{Central angle} = \frac{2\pi}{12}$$
4. Simplify the fraction:
$$\frac{2\pi}{12} = \frac{\cancel{2}\pi}{\cancel{12}6} = \frac{\pi}{6}$$
5. Therefore, the radian measure of any one of the 12 equal central angles is $\frac{\pi}{6}$ radians.
Final answer: D) $\frac{\pi}{6}$ radians
Central Angle 2Ff91D
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.