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02 Sep 2018, 23:42
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
77% (01:04) correct
23%
(01:23)
wrong
based on 125
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What is the measure of angle AOB in the circle with center O?
(1) Major arc AB is greater than 180°.
(2) Minor arc AB is 1/11 of the circumference.
(1) Major arc AB is greater than 180°.
(2) Minor arc AB is 1/11 of the circumference.
Varthini
Joined: 02 Jun 2018
Last visit: 18 Mar 2019
Posts: 11
Given Kudos: 93
Location: India
Schools: Molson '21 (A)
GMAT 1: 650 Q44 V36
GPA: 3.6
03 Sep 2018, 00:10
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B alone is enough to find the minor angle.
1/11 (2. pi.r) = (x° / 360) (2. pi.r)
=> x can be found
Posted from my mobile device
1/11 (2. pi.r) = (x° / 360) (2. pi.r)
=> x can be found
Posted from my mobile device
03 Sep 2018, 09:04
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Bunuel
What is the measure of angle AOB in the circle with center O?
(1) Major arc AB is greater than 180°.
(2) Minor arc AB is 1/11 of the circumference.
(1) Major arc AB is greater than 180°.
(2) Minor arc AB is 1/11 of the circumference.
Question stem: \(\angle{AOB}\)=?
St1:- Major arc AB is greater than 180°.
Greatest measure of an arc of a circle is the measure of circumference, i.e, \(2\pi*r\)
Given, Major Arc \(AB>\pi\)
So,\(\pi\)<Arc AB <\(2\pi*r\)
No unique value of arc AB as measure of radius is not known and length of arc AB is a variant.
And measure of \(\angle{AOB}\) is dependent on the measure of arc AB.
Therefore, insufficient.
St2:- Minor arc AB is 1/11 of the circumference
Or, Minor Arc AB=\(\frac{2\pi*r}{11}\)
\(\angle{AOB}\) formed by minor arc AB=\(\frac{Arc_{AB}}{Radius}\)=\(\frac{\frac{2\pi*r}{11}}{r}=\frac{2\pi}{11}\)
Sufficient.
Ans. (B)
