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.
