Final answer:
To calculate the area of a circle with a 14 cm radius, use the formula A = πr², yielding an area of approximately 615 cm² when rounded to two significant figures.
Step-by-step explanation:
To find the area of a circle with a given radius, you can use the formula A = πr², where A represents the area and r is the radius. In this case, the radius is 14 cm. Plugging the values into the formula, we get A = (3.1415927...) × (14 cm)².
After performing the calculation, the precise answer often has many digits. However, the precision of our final answer should match the precision of our given data. Since the radius is provided with two significant figures, our answer for the area should also be reported with two significant figures.
Therefore, after performing the calculation with a calculator, we would get a more precise answer, but based on significant figures, we report the area of the circle as approximately 615 cm² (which is π times 196 cm²).