Question

Write an equation of the circle given its center and radius

Answer 1

Answer:

$16=(x-0)^{2}+(x-0)^{2}$

Step-by-step explanation:

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

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.

$4^{2}=(x-h)^{2}+(x-k)^{2}$

$4^{2}=(x-0)^{2}+(x-0)^{2}$

$16=(x-0)^{2}+(x-0)^{2}$

Answer 2

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.