Solve the Problem $135 ^ { \circ }$ What Area of the Field Receives Water? If Necessary

Multiple Choice

Solve the problem.
-An irrigation sprinkler in a field of lettuce sprays water over a distance of 35 feet as it rotates through an angle of $135 ^ { \circ }$ . What area of the field receives water? If necessary, round the answer to two decimal places.

A) $459.38 \mathrm { ft } ^ { 2 }$
B) $2,886.34 \mathrm { ft } ^ { 2 }$
C) $1,443.17 \mathrm { ft } ^ { 2 }$
D) $41.23 \mathrm { ft } ^ { 2 }$