Question

minor arc kl measures 135°. which is the radian measure of central angle kol? $\frac{3pi}{8}$ radians $\frac{3pi}{4}$ radians $\frac{7pi}{8}$ radians $\frac{13pi}{5}$ radians

Explanation:

Step1: Recall conversion formula

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

Step2: Substitute given value

Given the angle is $135^{\circ}$, so $\text{radians}=\frac{\pi}{180}\times135$.

Step3: Simplify the expression

$\frac{\pi\times135}{180}=\frac{3\pi}{4}$.

Answer:

$\frac{3\pi}{4}$ radians