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Troyanec [42]
2 years ago
12

A spray irrigation system waters a section of a farmer’s field. If the water shoots a distance of 85 feet, what is the area that

is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:

3,781

Step-by-step explanation:

To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.

First, recognize the formula for the area of a circle:

A = 3.14r^{2}

In this scenario, the radius (<em>r</em>) is 85 feet:

A = 3.14(85)^{2}

A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:

A = \frac{3.14(85)^{2} }{6}

Finally, we will simplify and round:

A = 3,781

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Answer:

  • Length of rectangle is 31 yards and Width is 24 yards.

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Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

\\  \:  \:  \:  \:  \pink{ \dashrightarrow \:  \:  \:  \:  \sf { \underbrace{Area_{(Rectangle)} =  Length × Width  }}} \\  \\

On Substituting the required values, we get;

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As we know that width of the rectangle can't be negative. So x = 24

<u>Hence</u>,

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  • Length of the rectangle = x + 7 = 31 yards

\thereforeLength of rectangle is 31 yards<u> </u>and Width is 24 yards.

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