Question

A circle of radius 8 is centered at the point (-9, 10). Find a formula for f(q), the y-coordinate of the point P in the figure below (where q denotes the angle in the figure).

Answer 1

x = r cos q, y = r sin q when the center is at the origin. to translate to the left 8 and up 9, simply add those translations... note that you'd add -8 to go to the left 8 and 9 to go up 9.