Final answer:
The question requires finding the circumference of a circular tray with a radius of 3 inches using π as 3.14. The formula used is C = 2πr, resulting in a tray circumference of 18.84 inches when rounded to the nearest hundredth.
Step-by-step explanation:
The question asks us to solve the mathematical problem of finding the circumference of a metal tray, which is in the shape of a circle with a given radius. The formula to calculate the circumference (C) of a circle is C = 2πr, where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
To find the circumference of Austin's tray, we can substitute the given radius of 3 inches into the formula. As the formula suggests, we will multiply the radius by 2 and then by π (approximately 3.14). So, the calculation will look like this:
- First, we double the radius: 3 inches × 2 = 6 inches.
- Next, we multiply this result by π (3.14): 6 inches × 3.14 = 18.84 inches.
Therefore, the circumference of the pizza tray is 18.84 inches. If necessary, rounding to the nearest hundredth would still leave us with 18.84 inches as the final answer.
For completeness, it's important to note the significance of significant figures in mathematical problems. While the tray's radius was given with significant digits, we used the value of π as 3.14, which fits with the level of precision required and is acceptable for most straightforward calculations in schoolwork.