Final answer:
The area of a standard trampoline with a 14-foot diameter is calculated using the formula A = πr^2, resulting in approximately 153.938 square feet.
Step-by-step explanation:
To calculate the area of a standard trampoline with a diameter of 14 feet, we apply the formula for the area of a circle which is A = πr^2, where A is the area and r is the radius of the circle. First, we find the radius by dividing the diameter by 2, which gives us 7 feet. Then, we square the radius (7 feet × 7 feet = 49 square feet) and multiply by π (approximately 3.14159).
Therefore, the area of the trampoline is π × 49 ft^2, which is approximately 153.938 square feet when calculated with π rounded to five decimal places.