Which is the radian measure of central angle KOL? StartFraction 3 pi Over 8 EndFraction radians StartFraction 3 pi Over 4 EndFra

Question

2 years ago

13

ction radians StartFraction 7 pi Over 8 EndFraction radians StartFraction 13 pi Over 5 EndFraction radians

2 answers:

Anton [14] · Answer 1 · 2022-10-18T04:32:16+03:00

Anton [14]2 years ago

6 0

Answer: B

Step-by-step explanation:

bagirrra123 [75] · Answer 2 · 2022-10-18T02:19:47+03:00

The above question is incomplete.

Complete Question

Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle KOL?

a) StartFraction 3 pi Over 8 EndFraction radians

b) StartFraction 3 pi Over 4 EndFraction radians

c) StartFraction 7 pi Over 8 EndFraction radians

d) StartFraction 13 pi Over 5 EndFraction radians

Answer:

b) StartFraction 3 pi Over 4 EndFraction radians

Step-by-step explanation:

Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii.

Note that:

π radians = 180°

Therefore,

180° = π radians

135° = x

Cross Multiply

180° × x = 135° × π radians

x = 135° × π radians/180

x = 3π/4 radians

Therefore, the radian measure of central angle KOL is 3π/4 radians. Option b) is the correct option.