14. A lawn sprinkler located at the corner of a yard is set to rotate through 90^circ and project water out 30 feet. What area of the lawn is watered by the sprinkler? ROUND TO THE NEAREST HUNDREDTH. SA=(pi r^2x)/(360)

Question

Answer 1

To calculate the area of the lawn watered by the sprinkler, we use the formula for the sector area of a circle:

Where:-

feet (radius of the sprinkler's reach),-

(the angle of rotation),-

.Substitute the values into the formula:

1. Calculate

:

2. Multiply

:

3. Divide

by 360:

4. Multiply by

:

Thus, the area of the lawn watered by the sprinkler is approximately **706.86 square feet**.

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