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23 Jun 2020, 06:19
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Difficulty:
35%
(medium)
Question Stats:
69% (02:05) correct
31%
(02:07)
wrong
based on 85
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The radius of Circle Q is 8. If the length of arc ABC is greater than 26, which of the following could be the value of the sums of angles AQB and BQC ?
I. 180°
II. 240°
III. 270°
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
Attachment:
1.jpg [ 24.36 KiB | Viewed 3188 times ]
yashikaaggarwal
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23 Jun 2020, 06:32
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Length of arc ABC > 26
Length of arc = Π/360*2πr
Where Π is the sum of angle of AQB and BQC
Let length of arc be 26.1
Therefore,
27 = Π/360*2*22/7*8
Π = 186.85 or 187° is the least sum of angle AQB and BQC
Therefore The sum of AQB+BQC satisfy all two values of B and C
IMO D
Posted from my mobile device
Length of arc = Π/360*2πr
Where Π is the sum of angle of AQB and BQC
Let length of arc be 26.1
Therefore,
27 = Π/360*2*22/7*8
Π = 186.85 or 187° is the least sum of angle AQB and BQC
Therefore The sum of AQB+BQC satisfy all two values of B and C
IMO D
Posted from my mobile device
