How is the formula for the circumference of a circle derived? Drag and drop the correct word into each box to complete the explanation.

Answer:
diameter
circumference
[tex]\pi[/tex]
diameter
Step-by-step explanation:
First, find the length of the diameter (d) and the length of the circumference of the circle (c).
Next, divide the length of the circumference c by the length of the diameter d and set up an equation
[tex]\dfrac{c}{d}=\pi[/tex]
where the ratio equals to [tex]\mathbf{\pi }[/tex] (the definition of [tex]\pi[/tex])
Then, solve the equation for the circumference c:
[tex]c=\pi d[/tex]
Finally, substitute 2 times the radius for the diameter
[tex]c=\pi \cdot 2r=2\pi r[/tex]