Question

What does approximate value of the area of Circumference mean

Answer 1

Step-by-step 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} (\pi\cdot r^2)/(\pi\cdot r)=(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.