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

Question

asked Oct 4, 2021 189k views

1 Answer

Dreadiscool · Answer 1 · 2021-10-09T19:59:01+0000

Answer:

diameter

circumference

$\pi$

diameter

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

$(c)/(d)=\pi$

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

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