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