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Math Forum » Discussions » Math Topics » geometry.puzzles.independent

Topic: Overlapping circles
Replies: 9   Last Post: Jun 17, 2009 2:06 AM

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D & A Klinkenberg

Posts: 27
Registered: 12/6/04
Re: Overlapping circles
Posted: Jun 6, 2001 3:24 PM
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Hello W.H.,

The equation I get is: s = sqrt(d^2-c^2)/2 + sqrt(4*d^2-c^2)/2 +
3*d/2. I don't think it is easy to solve for d, so I didn't try. The
square roots are intended to be the distance from the center of the
chord to the center of each circle. My guess is that an equation in
d^8 will result and I don't know whether that can be reduced.

Dan in NY

&&&
"W.H." wrote:
>
> Two circles of diameter (d) and (2*d) overlap (not over the centres)
> so that they have a common chord of length (c). The measurement across
> the two circles perpendicular to the chord is (s) distance. I need to
> find the diameters in terms of (c) and (s).

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