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The answer depends on what information you have about the circles and their relative positions. If you have the radii of the two circles, r and s, and the distance between their centres, d then the two circles can be written as:(x + d/2)2 + y2 = r2 and (x - d/2)2 + y2 = s2.
=> 2xd = r2 - s2

=> x = (r2 - s2)/2d where all three values on the right hand side are known. So, x can be calculated and, substituting this value of x in the equation for either circle gives a quadratic equation in y. Solving the quadratic will give y1 and y2. Then the coordinates of the chord's end-points are (x, y1) and (x, y2) and the length of the chord is abs(y2 - y1).

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They will be concentric circles

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7y ago
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Q: How do you find two circles and their shared chord length?
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