Question

derive the formula for the circumference of a circle with radius r by following these steps.
smaller circle? $c_1 = pi$

1. suppose the radius of the larger circle is r. what is its diameter?

$d_2 = 2r$

1. if $d_2 = 2r$, then the similarity equation in step 1 becomes

$\frac{pi}{1} = \frac{c_2}{2r}$.
solve this equation for $c_2$.
$c_2 = $
options: $\pi r$, $\pi / r$, $2\pi r$

Explanation:

Step1: Start with the given equation

We have the equation \(\frac{\pi}{1}=\frac{C_2}{2r}\).

Step2: Solve for \(C_2\)

To solve for \(C_2\), we can cross - multiply. Cross - multiplying gives us \(C_2=\pi\times2r\).
Simplifying the right - hand side, we get \(C_2 = 2\pi r\).

Answer:

\(2\pi r\)