Question

Minor arc KL measures 135º

Answer 1

Answer:

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

Step-by-step explanation:

We know that a central angle is equal to its subtended arc.

In this case, the subtended arc is 135°, that means the central angle KOL is equal to 135°.

Then, we transform from degrees to radians. We know that $\pi$ is equivalent to 180°, so we use the rule of three.

$x=135\° \times \frac{\pi}{180\°}= \frac{3 \pi}{4} \ radians$

Using $\pi \approx 3.14$, we have

$x \approx 2.36 \ radians$

Therefore, the radian measure of the central angle is $\frac{3 \pi}{4} \ radians$.