KöMaL 2026 K896

A circle with radius $R$ is given. We draw the tangent lines to the circle from an external point $P$. These two lines form a $60^\circ$ angle, and the circle is in one of the $60^\circ$ angles formed by the two lines. How many circles of unit radius can be drawn that is tangent to exactly two of the circle and the two lines, if a) $R=$3; b) $R=4$?