Final answer:
The area of a circle with a diameter of 5 feet is approximately 19.635 square feet when rounded to the nearest thousandth.
Step-by-step explanation:
To calculate the area of a circle with a given diameter, first find the radius by dividing the diameter by 2. Since the diameter is given as 5 feet, the radius is 2.5 feet. Then, use the formula for the area of a circle, A = πr², where A is the area, π (pi) is approximately 3.14159265359, and r is the radius.
So, for a circle with a radius of 2.5 feet:
A = π × (2.5 feet)² = 3.14159265359 × (2.5 feet × 2.5 feet) = 3.14159265359 × 6.25 feet² = 19.634954084 feet².
When rounding to the nearest thousandth, the area is 19.635 square feet.