83. A given circle has a

circumference of x units and an

area of x square units. Which of

the following statements must be

true?

0

OA) The circle's radius is 1

unit.

OB) The circle's radius is 2

units.

OC) The circle's diameter is

exactly of its

circumference.

OD) The circle's radius is

exactly of its

circumference.

Answer: the circles radius is 2

The equation for circumference of a circle is 2*pi*r

And the equation for the area of a circle is pi*r^2

The only way both of these equations can be true is if 2r (pi) = (pi) r^2

Or

2r=r^2

And when is the square of a number equal to two times the number? When the number is 2

So the radius must be 2