Question

# A water sprinkler sprays water on a lawn over a distance of 25 feet and rotates through an angle of 130^(circ). Find the area of the lawn watered by the sprinkler.

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A water sprinkler sprays water on a lawn over a distance of 25 feet and rotates through an angle of $$130^{\circ}$$. Find the area of the lawn watered by the sprinkler.

$$130^{\circ} \times \frac{\pi}{180^{\circ}}=2.27$$
$$a=1/2(25^2)(2.27)=709.4$$