A point starts at the location (x, y) = (6, 0) and moves CCW along a circular path that is centered at (x, y) = (0,0). The point moves at a constant speed. Imagine an angle with a vertex at (0, 0) subtending the object's path. The angle sweeps out 4 radians per second, and let t represent the varying number of seconds that have elapsed since the point started moving. (Draw a diagram to represent this!) a. Write a formula that expresses the x-coordinate of the point in terms of t. (Hint: Start by expressing the angle measure, 0, in terms of t.) Preview b. How long does it take the point to complete one full lap around the circular path? (Hint: The angle must sweep out 27 radians for the point to complete one full lap, and the angle sweeps out 4 radians per second.)

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