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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.