Mathematics

Mathematics

Problem

In a surveillance system, two stationary drones hover at coordinates P(100,100)P(100, 100) and Q(200,100)Q(200, 100) (coordinates in meters). A third drone RR patrols a circular path given by x2+y2=900x^{2} + y^{2} = 900. Find the equation of the path traced by the centroid of the △PQR\triangle PQR formed by the three drones.

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