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Rama09 [41]
3 years ago
10

Minor arc KL measures 135º

Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0

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.

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