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What is the radius of the circle shown?

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What is the radius of the circle shown?  [#permalink]

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New post Updated on: 02 Aug 2014, 10:24
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Attachment:
circle_radius.JPG
circle_radius.JPG [ 17.07 KiB | Viewed 5188 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.

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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What is the radius of the circle shown?  [#permalink]

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New post 02 Aug 2014, 10:27
PathFinder007 wrote:
Image
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]

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New post 15 May 2017, 10:41
Bunuel wrote:
PathFinder007 wrote:
Image
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]

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New post 15 May 2017, 10:45
reachskishore wrote:
Bunuel wrote:
PathFinder007 wrote:
Image
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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Collection of Questions:
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Re: What is the radius of the circle shown?  [#permalink]

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New post 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]

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New post 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]

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New post 09 Jul 2018, 23:26
Bunuel

Area = Length of arc * radius /2

so why is this E

Bunuel wrote:
PathFinder007 wrote:
Image
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]

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New post 09 Jul 2018, 23:55
venmic wrote:
Bunuel

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

so why is this E

Bunuel wrote:
PathFinder007 wrote:
Image
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?
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: What is the radius of the circle shown? &nbs [#permalink] 09 Jul 2018, 23:55
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