Which equation of a circle is represented by the graph?



Missing Metadata

Question 3 options:

x squared plus y squared equals 5


open parentheses x minus 1 close parentheses squared plus open parentheses y minus 1 close parentheses squared equals 5


x squared plus y squared equals 25


open parentheses x minus 1 close parentheses squared plus open parentheses y minus 1 close parentheses squared equals 25

Which equation of a circle is represented by the graph Missing Metadata Question 3 options x squared plus y squared equals 5 open parentheses x minus 1 close pa class=

Respuesta :

Answer:

[tex]x^2+y^2=25[/tex]

Step-by-step explanation:

The given circle is centered at the origin;

The radius of the circle is

[tex]r=|5-0|=5[/tex] units.

You could also count the boxes from the center to any of the given points to get the radius.

The equation of a circle centered at the origin is given by;

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

We substitute the radius to obtain;

[tex]x^2+y^2=5^2[/tex]

The required equation is

[tex]x^2+y^2=25[/tex]