Respuesta :

this is a circle with the centre at the origin and radius 4.

Answer:

Equation is a Circle

Step-by-step explanation:

[tex]x^2+y^2=16[/tex]

16 is 4 times 4 = 4^2

The given equation can be written as

[tex](x-0)^2 + (y-0)^2 = 4^2[/tex]

The above equation is in the form of [tex](x-h)^2 + (y-k)^2= r^2[/tex] that is the equation of a circle .

[tex]x^2+y^2=16[/tex] is the equation of a circle with center(0,0) and radius = 4