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Contact Point of Two Circles

If two circles with radii r and R contact at a point above a straight axis, what is the height, Δy, of contact (as a function of the curvature of the circles) above the axis.

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Solution Summary

The height of the contact point of two circles above the x-axis is investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.