Question

write the standard form of the equation of the circle with the given center and radius.
center (0,0), r=8

the equation for the circle in standard form is □.
(simplify your answer.)

Explanation:

Step1: Recall circle standard form

The standard form of a circle with center $(h,k)$ and radius $r$ is $(x-h)^2+(y-k)^2=r^2$.

Step2: Substitute given values

Substitute $h=0$, $k=0$, $r=8$ into the formula:
$(x-0)^2+(y-0)^2=8^2$

Step3: Simplify the equation

Simplify each term:
$x^2+y^2=64$

Answer:

$x^2+y^2=64$