Main Concept

If two circles lie side by side on a line, and a smaller circle is drawn in the middle, the radius of the last circle is governed by:

$r_{3 }\= \frac{r_1\cdot r_2}{{\left(\sqrt{r_1} \+ \sqrt{r_2}\right)}^2}$

$r_{1 }\=$

$r_{2 } \=$

$r_{3 }\=$

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MathApps/AlgebraAndGeometry