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The equation of an ellipse is
\[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,\]
A circle is drawn so that it is contained in the ellipse, its center lies on the $x$-axis, and it touches the ellipse only at the point $(a,0).$  If a = b = 5, find the radius of the circle.

 Jun 28, 2023

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