The circumference of a circle is a? units and the area of the circle b? If a = b. What it the radius of the circle?

Answer: 2

We are told:

We know the formulas:

Since $a = b$ , set the formulas equal:

$2pi r = pi r^2$

Divide both sides by $pi$ :

$2r = r^2$

Rearrange:

$r^2 - 2r = 0 Rightarrow r(r - 2) = 0$

So the solutions are:

r=0 or r=2

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