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Difficulty:
35%
(medium)
Question Stats:
66% (01:37) correct
34%
(01:31)
wrong
based on 211
sessions
History
Date
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Not Attempted Yet
If the radius of the circle pictured above is 1, what is the measure of minor arc AB?
A. π/9
B. π/6
C. 2π/9
D. 2π/3
E. π
Attachment:
ArclengthAB.png [ 16.73 KiB | Viewed 6865 times ]
Assuming the line passing through A is the diameter:
The vertically opposite angle of 20 degree angle is the same = 20 degree.
If a line is drawn from the center to point B, the angle it will create in the center = 2 * (20) = 40 degree.
Now, the circumference of the circle = 2π*r = 2π.
Therefore, the length of the arc = 40/360 * (2π) = 2π/9.
Answer C.
The vertically opposite angle of 20 degree angle is the same = 20 degree.
If a line is drawn from the center to point B, the angle it will create in the center = 2 * (20) = 40 degree.
Now, the circumference of the circle = 2π*r = 2π.
Therefore, the length of the arc = 40/360 * (2π) = 2π/9.
Answer C.
Attachments
Capture.JPG [ 15.87 KiB | Viewed 6392 times ]
