A Sector of a Circle Is the Region Bounded by Two

Multiple Choice

A sector of a circle is the region bounded by two radii of the circle and their intercepted arc (see figure) . For a circle of radius $r,$ the area $A$ of a sector of the circle with central angle $\theta$ (measured in radians) is given by $A = \frac { 1 } { 2 } r ^ { 2 } \theta$ . A sprinkler system on a farm is set to spray water over a distance of $60$ feet and rotates through an angle of $110 ^ { \circ }$ . Use the above given information to find the area of the region. Round your answer to two decimal places.

A) 3457.14
B) 314.29
C) 3300.00
D) 1728.57
E) 12,100.00