Question: Calculate angles of incidence/reflection

What would be the simplest method using maple to calcualte the angles of incidence/reflection of straight lines from a common point striking the internal surface of a circle. If the centre of the circle lies on the y-axis and circumference touches x-axis forming a semi circle. Is it possible to represent graphically the setup and also have calculations giving accurate reflected rays from the surface of the curve, for the various points along the x-axis. Thanks

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