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    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #1

    Dec 20, 2010, 02:28 PM
    Radius of Circle
    Here's a brain teaser to play with. Take a look at the attached image, and tell me - what is the radius of the circle? The two crossed lines are diameters that cross at the center of the circle.

    Hint: if you find yourself thinking of sines or cosines of angles there's an easier way.
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    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Dec 20, 2010, 02:41 PM

    ebaines, just glancing at it, is it
    r=8?

    Is it that easy?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Dec 20, 2010, 02:45 PM

    Hello Galactus - that was quick - very good! Yep, it's that easy. Just consider the diagonal of that rectangle - it's 8 as measured from lower left to upper right (as in the original pic) or from upper left to lower right. The 4 was thrown in just to make it look more complicated than it really is. Like this:
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    galactus Posts: 2,271, Reputation: 282
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    #4

    Dec 20, 2010, 02:45 PM

    Yep, that's exactly what I seen. I thought perhaps I was flubbing up.

    I will post one I ran across recently. Fun little problem.

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