Final answer:
The area of a circle with a radius of 12.2 using the approximation π = T = 3.14 is calculated using the formula A = πr², which results in an area of 467 m² when rounded to three significant figures.
Step-by-step explanation:
To find the area of a circle using a given radius, we apply the formula A = πr². In this case, we are given a radius of 12.2 and asked to use T as an approximation for π, where T = 3.14. Plugging these values into the formula, we get A = (3.14)(12.2)2.
First, square the radius: 12.22 = 148.84. Next, multiply this by π approximated by T: (3.14)(148.84) = 467.1756 m². When we consider significant figures, the result should have the same number of significant figures as the quantity with the least significant figures participating in the calculation.
Since the radius was given to three significant figures, our final answer for the area should be rounded off to three significant figures as well, yielding A = 467 m².