The point of origin of a typical asteroid might lie at a radius of about 3 AU (astronomical units, 1 AU = 1.5 x 10^11 m) from the sun, the approximate location of the asteroid belt. Calculate the effective target cross section S of the earth as seen by the asteroid. Assume the asteroid's orbit is circular. Give your answer as a multiple of the area of the disk of the earth, ̀πR².