Respuesta :

DizzyBerco

Answer:

[tex]16=(x-0)^{2}+(x-0)^{2}[/tex]

Step-by-step explanation:

In writing equations for circles with the center and radius given we follow the formula [tex]r^{2}=(x-h)^{2}+(y-k)^{2}[/tex].

The value of h and k are the center values of (0,0).

So we have:

h = 0

k = 0

r = 4

Now let's plug these values into our formula.

[tex]4^{2}=(x-h)^{2}+(x-k)^{2}[/tex]

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

[tex]16=(x-0)^{2}+(x-0)^{2}[/tex]

zainebamir540

Answer:

x²+y² = 16

Step-by-step explanation:

We have given the center and radius of a circle.

Center = (0,0) ; Radius = 4

We have to find the equation of the circle.

The standard equation for the circle is:

(x-h)²+(y-k)²= r² where (h,k) is the center of circle and r is the radius of circle.

Putting given values in above equation  , we have

(x-0)²+(y-0)²= (4)²

(x)²+(y)² = 16

x²+y² = 16 which is the equation of circle.

Otras preguntas