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