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Bunuel
PathFinder007

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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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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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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Bunuel

Area = Length of arc * radius /2

so why is this E

Bunuel
PathFinder007

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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Bunuel

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

so why is this E

Bunuel
PathFinder007

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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PathFinder007
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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Bunuel
PathFinder007

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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