Question

Let c be a circle with centre p0 and ab be a diameter of c. Suppose, p1 is the mid-point of the line segment p0b, p2 is the mid-point of the line segment p1b, and so on. Let c1, c2, c3 ... Be circles with diameters p0p1, p1p2, p2p3 ..., respectively. Suppose, the circles c1, c2, c3 ... Are all shaded. The ratio of the area of the unshaded portion of c to that of circle c is

Answer 1

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