Question

how many radians is 150°? give the exact answer in simplest form. radians

Explanation:

Step1: Recall degree-radian conversion

We know that $180^\circ = \pi$ radians, so $1^\circ = \frac{\pi}{180}$ radians.

Step2: Convert 150° to radians

Multiply 150 by the conversion factor $\frac{\pi}{180}$.
$\displaystyle 150^\circ = 150 \times \frac{\pi}{180}$

Step3: Simplify the fraction

Cancel common factors (30) from numerator and denominator.
$\displaystyle 150 \times \frac{\pi}{180} = \frac{5\pi}{6}$

Answer:

$\frac{5\pi}{6}$