# How do you write an equation in standard form of the circle with the given properties: radius: 5 and center: (0,0)?

Nov 30, 2015

I found: ${x}^{2} + {y}^{2} = 25$

#### Explanation:

I would use the general relationship:
${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$
with:
$h , k$ are the coordinated of the center, $\left(0 , 0\right)$ in this case;
$r = 5$ is the radius.
Getting:
${x}^{2} + {y}^{2} = 25$