Question

What does approximate value of the area of Circumference mean

Answer 1

Explanation

Let's assume that we have a circle of radius r. Its circumference or perimeter C and its surface area A are given by the following formulas:

$\begin{gathered} C=2\pi r \\ A=\pi r^2 \end{gathered}$

We must find the radius or diameter of a circle where C and A are equal. Then we can construct an equation for r by equalizing A and C:

$\begin{gathered} A=C \\ \pi r^2=2\pi r \end{gathered}$

We can divide both sides by π and r (it is important to note that we can divide by r because we know that r is not 0). Then we get:

$\begin{gathered} \frac{\pi\cdot r^2}{\pi\cdot r}=\frac{2\pi\cdot r}{\pi\cdot r} \\ r=2 \end{gathered}$Answer

So the radius is 2 (of any unit). Then the answer is the first option.