Lee is running around the perimeter of a circular track at a rate of 10 ft/sec. The track has a radius of 100 yards. After 10 seconds, Lee turns and runs along a radial line to the center of the circle. Once he reaches the center, he turns and runs along a radial line to his starting point on the perimeter. Assume Lee does not slow down when he makes these two turns.
(a) Sketch a picture of the situation.
(b) How far has Lee traveled once he returns to his starting position? circuit? enclosed by Lee's path.
(c) How much time will elapse during Lee's
(d) Find the area of the pie shaped sector.