To find the area of a circle, you can use the formula:
\[ \text{Area} = \pi r^2 \]
Where \( r \) is the radius of the circle. Given that the radius is 5 meters and using \( \pi \approx 3.14 \):
\[ \text{Area} = 3.14 \times (5)^2 \] \[ = 3.14 \times 25 \] \[ = 78.5 \]
Therefore, the area of the circle-shaped swimming pool is approximately 78.5 square meters.