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Nadusha1986 [10]
2 years ago
13

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

ction radians StartFraction 7 pi Over 8 EndFraction radians StartFraction 13 pi Over 5 EndFraction radians
Mathematics
2 answers:
Anton [14]2 years ago
6 0

Answer: B

Step-by-step explanation:

bagirrra123 [75]2 years ago
5 0

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.

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\boxed {\boxed {\sf d\approx 4.2}}

Step-by-step explanation:

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d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y) and (x₂, y₂) are the points.

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Substitute the values into the formula.

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