Question

the measure of angle z is 15. what is the measure, in radians, of angle z? a. $\frac{1}{24}pi$ b. $\frac{1}{12}pi$ c. $\frac{1}{8}pi$ d. $\frac{1}{4}pi$

Explanation:

Step1: Recall degree - radian conversion formula

To convert degrees to radians, use the formula $\text{Radians}=\frac{\pi}{180}\times\text{Degrees}$.

Step2: Substitute the given degree value

Given the angle is $15^{\circ}$. Substitute into the formula: $\text{Radians}=\frac{\pi}{180}\times15$.

Step3: Simplify the expression

$\frac{\pi\times15}{180}=\frac{\pi}{12}$.

Answer:

b. $\frac{\pi}{12}$