There are two touching circles inscribed in a $60^\circ$ angle. The distance between the vertex of the angle and the center of the smaller circle is $5j$. What is the ratio of the surfaces of the two circles?
2026-03-25 04:37:34.1774413454
Two touching circles inscribed in an angle
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The radius of the large circle is three times that of the small circle. This is easy to see if you draw things on a triangular grid:
Since area scales with the square of the radius, you get an area ratio of $9$. The scale of things, in particular that distance $AD$, is irrelevant for this computation.