Final answer:
The radius of the circle is r and its circumference is 2r. This information helps explain why the area of the circle is 2r².
Step-by-step explanation:
The information provided helps to explain why the area of the circle is πr².
First, we know that the circumference of a circle is 2πr.
Using the circumference, we can find the radius: 2πr = 2r, which implies π = 2.
With this information, we can now calculate the area of the circle using the formula A = πr², which simplifies to A = 2r².
Therefore, the information given tells us that the area of the circle is 2r².