Consider the area of a sector of a circle (shaded region) shown below. (a) Suppose we are told that the area of the sector, A, is proportional to the seventh power of the radius, r. Write a formula for the area in terms of radius. Use k as the proportionality constant. (b) In geometry, the area of the sector also has a formula in terms of the angle 6. The formula is given by A = %9r2 . Use this information and part (a) to express 0 in terms of r. Your answer will still have R in it. em = S