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

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

Respuesta :

frika

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]