A circle has a circumference of $3600 π$ $3600pi$ What is the diameter of the circle?

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Answer 1 · 2018-03-07T09:35:00

See a solution process below:

The formula for the circumference of a circle is:

$C = 2 π r$ $C = 2pir$ or $C = 2 r π$ $C = 2rpi$

However, the relationship between the radius and diameter of a circle is:

$d = 2 r$ $d = 2r$

So, we can also write the formula for the circumference of a circle as:

$C = d π$ $C = dpi$

Substituting $3600 π$ $3600pi$ for $C$ $C$ and solving for $d$ $d$ gives:

$3600 π = d π$ $3600pi = dpi$

$\frac{3600 π}{π} = \frac{d π}{π}$ $(3600pi)/color(red)(pi) = (dpi)/color(red)(pi)$

$(3600color(red)(cancel(color(black)(pi))))/cancel(color(red)(pi)) = (dcolor(red)(cancel(color(black)(pi))))/cancel(color(red)(pi))$

$3600 = d$

$d = 3600$

A circle has a circumference of 3600pi3600π3600pi What is the diameter of the circle?