Final answer:
Approximately 50.265 feet of fencing is needed to surround a circular swimming area 16 feet across, calculated using the formula for the circumference of a circle.
Step-by-step explanation:
To determine the amount of fencing needed to surround a circular swimming area that is 16 feet across, we need to calculate the circumference of the circle.
The diameter of the circle is given as 16 feet, so the radius (r) is half of that, which is 8 feet.
The formula for the circumference (C) of a circle is C = 2πr.
Therefore, the calculation will be:
C = 2π(8 feet)
C = 16π feet
π (pi) is approximately 3.14159, so the circumference of the swimming area is approximately:
C = 16π feet
C ≈ 16 × 3.14159 feet
C ≈ 50.265 feet
Hence, about 50.265 feet of fencing would be required to surround the swimming area.