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What is the radius of the circle shown?

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PathFinder007
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What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   Updated on: 02 Aug 2014, 10:24
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71% (00:53) correct 29% (00:54) wrong based on 558 sessions
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circle_radius.JPG
circle_radius.JPG [ 17.07 KiB | Viewed 15520 times ]
What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.
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Official Answer
E

Originally posted by PathFinder007 on 02 Aug 2014, 06:18.
Last edited by Bunuel on 02 Aug 2014, 10:24, edited 1 time in total.
Edited the question.
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Bunuel
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What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   02 Aug 2014, 10:27
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PathFinder007 wrote:

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.


This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.
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reachskishore
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Re: What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   15 May 2017, 10:41
Bunuel wrote:
PathFinder007 wrote:

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.


This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.



Hello Bunuel,

Say, in the stem, if the angle 'O' is given as 90 degrees. Then would it be possible to find the radius of the using the fact that 'O' is the center of the circle ?? Like using both (1) + (2)
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Re: What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   15 May 2017, 10:45
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reachskishore wrote:
Bunuel wrote:
PathFinder007 wrote:

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.


This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.



Hello Bunuel,

Say, in the stem, if the angle 'O' is given as 90 degrees. Then would it be possible to find the radius of the using the fact that 'O' is the center of the circle ?? Like using both (1) + (2)


Yes. In this case we'd know that the circumference is 16 and from that we'd be able to find the radius.
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Re: What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   31 May 2017, 04:19
We can't assume that O is the center and we can't assume that POQ is 90 degree. So we can't find the radius from statement 1, statement 2 or even if we combine both statement.
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Re: What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   06 Sep 2017, 19:12
PathFinder007 wrote:
Attachment:
circle_radius.JPG
What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.


E cannot make the assumption piece of the circle shown in the graph is 1/4 of the circles area- which is what the trap in this question is. If you don't know the area then you cannot know the length of the arc.
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Re: What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   09 Jul 2018, 23:26
Bunuel

Area = Length of arc * radius /2

so why is this E

Bunuel wrote:
PathFinder007 wrote:

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.


This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.
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Re: What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   09 Jul 2018, 23:55
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venmic wrote:
Bunuel

Area of a sector = Length of arc * radius /2

so why is this E

Bunuel wrote:
PathFinder007 wrote:

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.


This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.


You question is not clear. HOW do you suggest to use that formula to find the radius?
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Re: What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   05 Aug 2020, 01:22
PathFinder007 wrote:
Attachment:
circle_radius.JPG
What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.



(1) We cannot find the radius as we do not know the value of the angel
(2) With centre at point O nothing about the angle is known.

Therefore E
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Re: What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   04 Sep 2020, 05:32
Bunuel wrote:
PathFinder007 wrote:

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.


This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.


Do you think, it is a GMAT like question and that too in 600-700 marks' range?
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Re: What is the radius of the circle shown? [#permalink] What is the radius of the circle shown?   05 Jan 2022, 19:50
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Re: What is the radius of the circle shown? [#permalink]
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