To find the circumference of a circular swimming pool with a diameter of 20 feet, we use the formula for the circumference of a circle, which is:
[tex]\[ \text{Circumference} = \pi \times \text{diameter} \][/tex]
Here's the step-by-step process:
1. Identify the diameter:
Given: Diameter [tex]\(d = 20\)[/tex] feet
2. Apply the formula for circumference:
[tex]\[ \text{Circumference} = \pi \times d \][/tex]
3. Substitute the given diameter into the formula:
[tex]\[ \text{Circumference} = \pi \times 20 \][/tex]
4. Calculate the exact value of the circumference:
Using [tex]\(\pi \approx 3.141592653589793\)[/tex],
[tex]\[ \text{Circumference} \approx 3.141592653589793 \times 20 \][/tex]
5. Determine the exact circumference value:
[tex]\[ \text{Circumference} \approx 62.83185307179586 \text{ feet} \][/tex]
6. Round the result to the nearest tenth:
[tex]\[ 62.83185307179586 \text{ feet} \approx 62.8 \text{ feet} \][/tex]
Therefore, the circumference of the circular swimming pool rounded to the nearest tenth is 62.8 feet.
The correct answer is:
[tex]\[ \boxed{D. 62.8 \text{ ft}} \][/tex]
