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A lawn sprinkler sprays water 25 feet and moves back and forth through an angle of 150°. Which of the following is the best estimate of the area of the lawn that gets watered?

A lawn sprinkler sprays water 25 feet and moves back and forth through an angle of 150 Which of the following is the best estimate of the area of the lawn that class=

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kaibeauchamp104

[tex]\pi25 ^{2} \times \frac{150}{360} [/tex]
Explanation:
Area is pi×r^2 and you times it by the fraction of the circle you have as its not a full circle.

The area of the lawn that gets watered is  817.70 square feet.

Given that, radius=25 feet angle central angle=150°.

What is the formula to find the area of a sector?

Area of a Sector of Circle = (θ/360º) × πr².

where,

  • θ is the angle subtended at the centre, given in degrees.
  • r is the radius of the circle.

Now, area=150º/360º×3.14×25² square feet.

=817.70 square feet.

Therefore, the area of a sector is 817.70 square feet.

To learn more about the area of a sector visit:

https://brainly.com/question/16367606.

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