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Points A, B, and C lie in that order along the circumference
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24 Nov 2020, 08:18
24 Nov 2020, 08:18
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Question Stats:
80% (01:54) correct
19% (02:16) wrong based on 21 sessions
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Points A, B, and C lie in that order along the circumference of a circle with center O. A second circle with center M has a radius one-third as long as that of the circle with center O. If the area of sector OABC is equal to the area of the circle with center M, then what is the degree measure of \(∠AOC\) ?
Show: :: OA
40
Re: Points A, B, and C lie in that order along the circumference
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25 Nov 2020, 01:00
25 Nov 2020, 01:00
40 degree!
Re: Points A, B, and C lie in that order along the circumference
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28 Nov 2020, 23:51
28 Nov 2020, 23:51
1
r=the radius of the smaller circle (M center)
3r= the radius of the bigger circle (center O)
the angle would be= [pi*r^2/pi*(3r)^2]*360
= 1/9* 360
= 40 (answer)
N.B: 360-40=320 might be an option, however, this is incorrect in this
particular case as per the condition.
3r= the radius of the bigger circle (center O)
the angle would be= [pi*r^2/pi*(3r)^2]*360
= 1/9* 360
= 40 (answer)
N.B: 360-40=320 might be an option, however, this is incorrect in this
particular case as per the condition.
