Farmer Grainger's square plot yields 350 bushels of grain. To increase the yield, Grainger invests in a circular sprinkler pivot to irrigate a square plot of land. When he places the sprinkler at the center of the field and stretches the arm to half the field's length, he estimates that the sprinkler will triple the yield over the irrigated circular area, even though some land will not be irrigated. (a) What is the projected yield of the circular area once the pivot is installed? (b) Farmer Grainger wonders if he could increase his yield by placing the sprinkler so that the circular pivot's center is at one corner of the square plot of land, thereby extending the watering arm to the length of the field. Is this a better configuration than the configuration in part (a) above?