Question

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

Explanation:

Step1: Recall the 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 \( \text{Degrees} = 135^{\circ} \), substitute into the formula: \( \text{Radians}=\frac{\pi}{180}\times135 \)

Step3: Simplify the expression

\( \frac{\pi\times135}{180}=\frac{3\pi}{4} \) (divide numerator and denominator by 45)

Answer:

\(\frac{3\pi}{4}\text{ radians}\)