Solve the Problem $48 ^ { \circ }$ B) $7.64 ^ { \circ }$

Multiple Choice

Solve the problem.
-As part of an experiment to test different liquid fertilizers, a sprinkler has to be set to cover an area of 120 square yards in the shape of a sector of a circle of radius 30 yards. Through what angle should the sprinkler be set to rotate? If necessary, round the answer to two decimal places.

A) $48 ^ { \circ }$
B) $7.64 ^ { \circ }$
C) $15.28 ^ { \circ }$
D) $11.46 ^ { \circ }$