Respuesta :

Answer:

Radius of the given circle is r = 2.

Step-by-step explanation:

Given equation of the circle is [tex]x^2 + y^2 = 4[/tex].

Now we need to find the radius of the given circle [tex]x^2 + y^2 = 4[/tex].

To find that let's compare with the formula of the circle with is [tex]x^2 + y^2 = r^2[/tex], where r is the radius.

We get [tex]r^2 = 4[/tex]

take square root of both sides.

[tex]r=2[/tex]

Hence radius of the given circle is r = 2.

ANSWER

The radius is 2

EXPLANATION

The given equation of the circle is

[tex] {x}^{2} + {y}^{2} = 4[/tex]

.This is the same as

[tex]{x}^{2} + {y}^{2} = {2}^{2} [/tex]

We campare to the equation of the circle with center at the origin.

[tex]{x}^{2} + {y}^{2} = {r}^{2} [/tex]

We have

[tex]r = 2[/tex]

.Hence the radius of the circle is 2