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How is the formula for the circumference of a circle derived?
Drag and drop the correct word into each box to complete the explanation.
First, find the length of the
and the length of the circumference of the circle.
Next, divide the length of the
by the length of the diameter and set up an equation where the ratio
equals
Then, solve the equation for the circumference.
Finally, substitute 2 times the radius for the.....
1. diameter
2. radius
3.area
4.circumference
5.Pie
6.2

Respuesta :

calculista

Answer:

see the explanation

Step-by-step explanation:

we know that

The definition of π is the circumference C of any circle divided by its diameter D

so

First, find the length of the Diameter and the length of the circumference of the circle.

Next, divide the length of the circumference by the length of the diameter and set up an equation where the ratio  equals Pie

[tex]\pi =\frac{C}{D}[/tex]

Then, solve the equation for the circumference

solve for C

That means---> isolate the variable C

[tex]C=\pi D[/tex]

Finally, substitute 2 times the radius for the Diameter

[tex]C=2\pi r[/tex]

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