Final answer:
To calculate the area of a circle with a 14 cm radius, we use the formula A = πr², where π is approximated as 3.14. This leads to an area of approximately 615.44 cm², which we round to 615 cm² according to the rule of significant figures.
Step-by-step explanation:
The area of a circle is given by the formula A = πr², where π (pi) is a constant roughly equal to 3.14, and r is the radius of the circle. In this case, with the radius provided as 14 centimeters, we use either 3.14 or 22/7 for π to find the area. However, when providing our final answer, we should adhere to the rule of significant figures.
Using π as 3.14, the calculation would be A = 3.14 × (14 cm)². Squaring the radius gives us 196 cm², and multiplying that by 3.14 gives approximately 615.44 cm². Following the principles of significant figures and rounding to the nearest whole number, the area is about 615 cm².