Final answer:
The area of a circular serving tray with a diameter of 15 inches is approximately 56.25π square inches.
Step-by-step explanation:
To calculate the area of a circle, you can use the formula A = πr², where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14159.
Since the diameter of the tray is 15 inches, the radius is half of that, which is 7.5 inches.
Plugging the radius value into the area formula, we get:
A = π × (7.5 inches)²
= π × 56.25 in²
Thus:
A ≈ π × 56.25 in²
≈ 176.71 in²
To present this with π in the answer, we can also write it in terms of π as:
A ≈ 56.25π in²