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To find the area of the shaded region in the circle, we need to analyze the geometry of the diagram:

1. **Identify the radius of the circle:** The radius \( r \) of the circle is given as 8 meters.

2. **Determine the shaded area:** The shaded area is a quarter of the entire circle since it represents a 90-degree sector.

3. **Calculate the area of the whole circle:**
   \[
   \text{Area of the circle} = \pi r^2 = \pi (8)^2 = 64\pi \, \text{m}^2
   \]

4. **Calculate the area of the shaded region:** Since the shaded region is a quarter of the circle:
   \[
   \text{Area of the shaded region} = \frac{1}{4} \times 64\pi = 16\pi \, \text{m}^2
   \]

Thus, the correct answer is:

**B) 16π m²**

Would you like a further breakdown of the steps? 

### Related Questions:
1. How do you calculate the area of a sector of any circle?
2. What is the formula to find the area of a circle?
3. How would the area change if the sector angle was different?
4. How do you find the circumference of a circle given the radius?
5. What is the relationship between the radius and the area of a circle?

**Tip:** When working with sectors, always remember that the area is proportional to the sector’s angle compared to the full 360 degrees of a circle.

Calcula el área de la región sombreada. El radio del círculo es de 8 metros, y el sector sombreado representa un ángulo de 90 grados.

This problem involves calculating the area of a shaded 90-degree sector in a circle with a radius of 8 meters. Using geometry and the formula for the area of a sector, students will find that the correct answer is 16π m². Suitable for students in Grades 7-9.

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