A strange distance

Geometry Level pending

Two circles, one with a radius R (to the left), another one radius (right) intersect at two points. Draw two straight lines, one passing through one of the points of intersection is secant and the circumference of radius R, one passing through the centers of both circles. Knowing that the circle of radius 1 has a point coincident with the center of another circle, determine the distance from the meeting point of these two lines to the center of the circle to the left when R tends to zero?

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