Question

major arc cbd measures $300^\circ$.
which is the radian measure of its corresponding central angle?
$\frac{4\pi}{3}$ radians
$\frac{5\pi}{6}$ radians
$\frac{5\pi}{3}$ radians
$\frac{11\pi}{6}$ radians

Explanation:

Step1: Recall degree-to-radian formula

To convert degrees to radians, multiply by $\frac{\pi}{180^\circ}$.

Step2: Substitute the given angle

$$300^\circ \times \frac{\pi}{180^\circ}$$

Step3: Simplify the expression

Cancel common factors: $\frac{300\pi}{180} = \frac{5\pi}{3}$

Answer:

$\boldsymbol{\frac{5\pi}{3}}$ radians (Option C)