Question

What is the radius of the following circle?

Answer 1

r = +2√3

Explanation:

The equation of a circle with center at (0, 0) and radius r is

x^2 + y^2 = r^2.

Here we have

x^2 + y^2 = 12,

and so we can deduce that r^2 = 12. Then r = +2√3.

Answer 2

The radius is:
`2√(3)`

Explanation:

The equation of a circle in center-radius form is:

`(x - h)^2 + (y - k)^2 = r^2`

Where the center is at the point (h, k) and the radius is "r".

So, given the equation of the circle:

`x^2+y^2=12`

You can identify that:

`r^2=12`

Then, solving for "r", you get that the radius of this circle is:

`r=√(12)\\\\r=2√(3)`