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The image shows a campsite layout shaped like a sector of a circle. To calculate the total area of the campsite, we need to use the formula for the area of a sector:

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

Where:
- \(\theta\) is the central angle of the sector, which is \(100^\circ\) in this case.
- \(r\) is the radius of the sector, which is \(18.5\) meters.

Let's perform the calculation:

1. Convert the angle \(\theta\) to radians.
2. Substitute the values into the formula to get the area.

Now, let's calculate this.The total area of the campsite is approximately \(298.67\) square meters, rounded to two decimal places.

Would you like more details on this calculation or any other related help?

Here are some related questions you might consider:
1. How would the area change if the central angle were increased to 120 degrees?
2. What is the perimeter of the campsite including the curved and straight edges?
3. How would the layout change if you were to maximize the use of space?
4. What is the length of the arc of the sector?
5. How could you arrange more tents within the same area without changing the sector size?

**Tip:** When dealing with geometrical figures involving curves, always consider both the linear dimensions (like radius and angles) and the non-linear dimensions (like area and arc length) to fully understand the structure's properties.

Calculate the total area of the campsite in the design. (Answer in m² correct to 2 decimal places).

Learn how to calculate the area of a campsite designed as a sector of a circle. The problem involves using the sector area formula (θ / 360) × π × r², where the central angle is 100° and the radius is 18.5 meters. Suitable for students in Grades 8-10.

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