If a circle with a circumference of 20 has two overlapping : PS Archive
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# If a circle with a circumference of 20 has two overlapping

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Eternal Intern
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If a circle with a circumference of 20 has two overlapping [#permalink]

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31 Jul 2003, 13:01
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If a circle with a circumference of 20 has two overlapping arcs
with length of 16 and 14, respectively. what is the LEAST possible total
length of the overlap of the two arcs?

How do you draw in those arcs?

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Ride em cowboy

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31 Jul 2003, 13:24
Draw a circle. Draw an arc of 16 on it - draw it about 4/5's the size of the circle. Start the 2nd arc where the first one ended. You will likely spend more time drawing this out than it is worth though - just visualize how you would draw it and that should be enough to answer the question.
Eternal Intern
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31 Jul 2003, 13:29
Like I said, I really bad at the visualizing questions portion of GMAT, although they are rare and so are the #number of cuts,etc

I put my 14, on the 16's starting point but see the 14 touching the 16 for 14 inches.

Please take the effort and get out MSFT word.

thanks
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Ride em cowboy

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31 Jul 2003, 15:39
curly - the only way you will learn how to draw diagrams is if you do them yourself. Reread what I wrote, in particular, this line:

"Start the 2nd arc where the first one ended."

In other words, draw the 2nd arc (size 14) starting where the 1st arc (size 16) ended, continue drawing this in the same direction as you drew the first arc, thereby making a full revolution and then some over the circle.
31 Jul 2003, 15:39
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