Geometry Homework

Question

A lawn sprinkler located at the corner of a yard is set to rotate through 90 degrees and project water out 30 feet. What area of lawn is watered by the sprinkler?

A. 47.12 ft ^2

B. 706.86 ft ^2

C. 176.71 ft ^2

D. 900.34 ft ^2

Answer 1

This can be calculated by knowing the are of a circle.

A = πr²

Since this rotates 90 degrees, that would be 1/4 of a circle.

A = (1/4)πr²

Now plug in the numbers

A = (1/4)(3.14159)(30)² = 706.86 ft²