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OpenGL encircle any point on the screen

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How can I draw a circle surround any given point on the screen? Normally, OpenGL draws the circle centered at (0,0). My position indicator consists of pixels rendered as rectangles. The number of pixels is a multiplication of angle and range given to me. For example, if ppi shall be drawn for 360 degree and range 1000, then I draw 360 * 1000 pixels on the screen. Accordingly, any point is detected with its relevant angle and range. Let's say a point exists at 50 degree and range 500. How can I encircle that point now?

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