Respuesta :
Answer:
[tex]\frac{3 \pi}{4} \ radians[/tex].
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 [tex]\pi[/tex] is equivalent to 180°, so we use the rule of three.
[tex]x=135\° \times \frac{\pi}{180\°}= \frac{3 \pi}{4} \ radians[/tex]
Using [tex]\pi \approx 3.14[/tex], we have
[tex]x \approx 2.36 \ radians[/tex]
Therefore, the radian measure of the central angle is [tex]\frac{3 \pi}{4} \ radians[/tex].
