Respuesta :

Answer:

x^2+y^2=6^2

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2

where h is the x coordinate of the center, k is the y coordinate of the center, and r is the radius of the circle.

We can see the center is on 0,0, and the radius is 6, so our equation is

(x-0)^2+(y-0)^2=6^2

or

x^2+y^2=6^2

Answer:

[tex] x ^2 + y^2 = 36 [/tex]

Step-by-step explanation:

Center of the circle (h, k) =(0, 0)

Radius of the circle (r) = 6 units

Equation of circle in center radius form is given as:

[tex] (x-h) ^2 + (y-k) ^2 = r^2 [/tex]

[tex] (x-0) ^2 + (y-0) ^2 = (6)^2 [/tex]

[tex] x ^2 + y^2 = 36 [/tex]