Question

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 1

Answer:

diameter

circumference

$\pi$

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

$\dfrac{c}{d}=\pi$

where the ratio equals to $\mathbf{\pi }$ (the definition of $\pi$)

Then, solve the equation for the circumference c:

$c=\pi d$

Finally, substitute 2 times the radius for the diameter

$c=\pi \cdot 2r=2\pi r$

Answer 2

Answer:

Step-by-step explanation: