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505-555 (Easy)|   Geometry|      
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guygmat
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Is the ratio of the area of circle A to the area of square B 19 Jun 2011, 23:22
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Difficulty:

15% (low)

Question Stats:

74% (01:01) correct 26% (00:58) wrong based on 89 sessions

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Is the ratio of the area of circle A to the area of square B greater than ?

(1) Square B has a side of length 2.

(2) Square B is inscribed in circle A.
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B
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gmatpapa
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Is the ratio of the area of circle A to the area of square B 20 Jun 2011, 04:07
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guygmat
Is the ratio of the area of circle A to the area of square B greater than ?

(1) Square B has a side of length 2.

(2) Square B is inscribed in circle A.
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Question seems incomplete. Can you please check? Thanks.
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Alchemist1320
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Is the ratio of the area of circle A to the area of square B 20 Jun 2011, 08:47
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if question was...that ratio >1

its B as irrespective of sizes invloved...area of anything inscribed will be always less
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Is the ratio of the area of circle A to the area of square B 20 Jun 2011, 11:20
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guygmat
Is the ratio of the area of circle A to the area of square B greater than ?

(1) Square B has a side of length 2.

(2) Square B is inscribed in circle A.
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While the question is incomplete, it actually doesn't matter; the answer has to be B. If a square is *inscribed* in a circle, then you can find the exact ratio of the area of the circle to the area of the square. We don't need any lengths - the ratio is always the same (if it's not clear why this is true, it's a useful exercise: draw a square inscribed in a circle, label the radius as 'r', and find the ratio of the area of the circle to the area of the square: you'll notice that all of your r's cancel out).

So it doesn't matter what the question actually says here; the answer has to be B.
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Is the ratio of the area of circle A to the area of square B 21 Jun 2011, 08:31
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Alright! so the ratio is always 2pi then..great!
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Is the ratio of the area of circle A to the area of square B 21 Jun 2011, 14:03
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Alright! so the ratio is always 2pi then..great!
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You've left out a slash or colon between the 2 and the Pi, but yes, the ratio of the square's area to the circle's area will be 2 to Pi here, no matter what the radius is equal to.
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Is the ratio of the area of circle A to the area of square B 23 Jun 2011, 03:28
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a tells nothing about the circle. Not sufficient.

b radius ^ 2 = 2* (side-sq/2) ^ 2 = (side-sq)^2 /2

thus area's => pi *radius^2 and 2* radius^2.

this gives the ratio. sufficient.

B it is.
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Is the ratio of the area of circle A to the area of square B 29 Jan 2022, 19:28
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