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23 Aug 2015, 22:57
Kudos
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Hello I have a Gmat questionn i would like someone could help me resolve. Thx for responses
What is the Central Angle of circle A if the radius is 4 and the shaded area is 2pi "π"
Now there is a Circle with what appears to be 45° of shaded area and the rest of the circle is blank
Answers are
A)45
B)90
C)205
D) pi/3
E) pi
Thank you all
What is the Central Angle of circle A if the radius is 4 and the shaded area is 2pi "π"
Now there is a Circle with what appears to be 45° of shaded area and the rest of the circle is blank
Answers are
A)45
B)90
C)205
D) pi/3
E) pi
Thank you all
Attachments
Circle.png [ 783.59 KiB | Viewed 1221 times ]
23 Aug 2015, 23:10
Kudos
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Jert10
I see you have just joined the community. For your future reference, you should put Quant questions in Quant forum and Verbal questions in Verbal forum. In this forum, people have more advisory kind of questions - what should I do? how should I improve? etc
Anyway, this question can be easily solved by first calculating the area of the whole circle.
Area of a circle \(= \pi * r^2 = \pi * 4^2 = 16\pi\)
Shaded area is \(2\pi\).
Shaded area is \((2\pi)/(16\pi) = 1/8\)th of the area of the whole circle.
So the central angle will be 1/8th of the entire central angle of 360 degrees.
Central angle of shaded region = 360/8 = 45 degrees
(I am assuming this is what was asked but the question is not framed accurately)
24 Aug 2015, 19:13
Kudos
Bookmarks
Hi Jert10,
As Karishma has pointed out, you should post your Quant PS questions in that Forum:
gmat-problem-solving-ps-140/
As an aside, did this question come from a GMAT book or from a 'math book?'
GMAT assassins aren't born, they're made,
Rich
As Karishma has pointed out, you should post your Quant PS questions in that Forum:
gmat-problem-solving-ps-140/
As an aside, did this question come from a GMAT book or from a 'math book?'
GMAT assassins aren't born, they're made,
Rich
