How many radians is $150°$?

• A. $\frac{5\pi }{6}$
• B. $\frac{3\pi }{4}$
• C. $\frac{2\pi }{3}$
• D. $\frac{7\pi }{6}$

Answer: (A)

Verified step by step guidance

1. Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
2. Substitute the given degree measure into the formula: \$150^\circ \times \frac{\pi}{180}$.
3. Simplify the fraction \(\frac{150}{180}\) by dividing numerator and denominator by their greatest common divisor, which is 30.
4. After simplification, express the fraction in lowest terms: \(\frac{5}{6}\).
5. Write the final expression for the angle in radians as \(\frac{5\pi}{6}\).