Question 457907
Set up an equation and solve the following problem.
 Find the length of a radius of a circle such that the circumference of the
 circle is numerically equal to the area of the circle. 
:
We know, Area = {{{pi*r^2}}} and Circumference = {{{2*pi*r}}}
Problem is: Area = Circumference, therefore
{{{pi*r^2}}} = {{{2*pi*r}}}
Divide both sides by {{{pi*r}}}
{{{(pi*r^2)/(pi*r)}}} = {{{(2*pi*r)/(pi*r)}}}
Cancels the {{{pi*r}}}, we are left with
:
r = 2 is the length of the radius
;
:
See if that is true
{{{pi^2^2)}}} = 12.556
{{{2*pi*2)}}} = 12.566; of course r=2 is the only value where this is true, right?