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The problem involves calculating the area of a sector of a circle, which can be found using the formula:

\[
\text{Area of sector} = \frac{\theta}{360} \times \pi r^2
\]

Where:
- \(\theta = 30^\circ\) (the angle of the sector),
- \(r = 10 \, \text{feet}\) (the radius),
- \(\pi = 3.14\).

Let's compute the area:

\[
\text{Area} = \frac{30}{360} \times 3.14 \times 10^2
\]

Now, I will calculate this for you.The area of the sector is approximately \( 26.2 \, \text{square feet} \) when rounded to the nearest tenth.

Let me know if you need any more details or have questions! Here are five related questions to further explore:

1. What is the formula for finding the circumference of a full circle with the same radius?
2. How would the area change if the angle were increased to \( 60^\circ \)?
3. What is the area of the entire circle from which the sector was taken?
4. How would you find the arc length of this sector?
5. What would happen to the area if the radius were doubled, but the angle stayed the same?

**Tip:** When dealing with sectors of circles, always ensure that the angle is in degrees (or radians, depending on the formula) and that your radius is squared for the area calculations.

The sector shows the area of a lawn that will be watered by a sprinkler. What is the area, rounded to the nearest tenth? Use 3.14 for π. The sector has a radius of 10 ft and an angle of 30°.

Learn how to calculate the area of a sector with a radius of 10 feet and an angle of 30°. Use 3.14 for π and find the area to the nearest tenth, perfect for students in Grades 7-9 studying geometry and area calculations.

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