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) $41.23 \mathrm { ft } ^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a sector of a circle is given by $\frac{\theta}{360} \times \pi r^2$. Here, $\theta = 135^\circ$ and $r = 35$ feet. Plugging in these values, the area is $\frac{135}{360} \times \pi \times 35^2 \approx 1,443.17 \mathrm{ft}^2$.

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

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