convert the following angle from degrees to radians. express your answer in simplest form. 150°
convert the following angle from degrees to radians. express your answer in simplest form. 150°
Answer
Answer:
$\frac{5\pi}{6}$
Explanation:
Step1: Recall the conversion formula
To convert degrees to radians, use the formula: $radians = degrees\times\frac{\pi}{180}$.
Step2: Substitute the given degree value
Substitute $150$ for degrees: $150\times\frac{\pi}{180}$.
Step3: Simplify the fraction
Simplify $\frac{150}{180}$ by dividing numerator and denominator by $30$. $\frac{150\div30}{180\div30}=\frac{5}{6}$. So, $150\times\frac{\pi}{180}=\frac{5\pi}{6}$.