Revolving chord

Geometry Level pending

P(12,34) is a point in a circle centred at O(0,0) with radius 567. Now a moving line L which passes through P intersect the circle at A and B, M is the mid-point of chord AB. As L rotates about P, the locus (i.e. trace) of point M form a closed curve D.

Find the area of region enclosed by D. (take pi=3.14)

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