Suppose that a particle is traversing the unit circle clockwise in the first quadrant. 1. Consider the circular sector created between the particle and the positive x-axis. Find an expression for the area of this sector, and differentiate both sides assuming that all variables are implicit functions of time t. 2. Suppose that the area of the circular sector is decreasing at 1/4 square units per unit time. What is the angular velocity of the particle?