Given,

A line segment AB of length A moves such that the points A and B remain on the periphery of a circle of radius ,

Now taking the points on the circle of radius as B( cos , sin ) & and taking the point P(h, k) which divides the line segment in AB of length A in 2 : 3

Now plotting the diagram we get,

Now, let O be the origin and radius of circle is and AB = and using distance formula we get,

Now using section formula we get,

and

Now squaring and adding above two value we get,

Hence, Radius =

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