# How do you graph x^2 + y^2 = 100?

Jun 7, 2018

Circle radius 10 centered on the origin.

#### Explanation:

The formula for the graph of a circle centered on $\left(h , k\right)$ is:

${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$

you have:

${\left(x - 0\right)}^{2} + {\left(y - 0\right)}^{2} = {10}^{2}$

so it is a circle of radius 10 centered at $\left(0 , 0\right)$

graph{x^2 + y^2 = 100 [-39.42, 40.58, -19.84, 20.16]}

Jul 7, 2018

See below:

#### Explanation:

The equation of a circle is given by

${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$

with center $\left(h , k\right)$ and radius $r$.

We have the equation

${x}^{2} + {y}^{2} = 100$, where the origin is our center since we have no $h$ or $k$ value. We also know from $\sqrt{100}$ that we have radius $10$.

We can now graph this circle knowing we are centered at the origin, and we have a radius of $10$.

graph{x^2+y^2=100 [-40, 40, -20, 20]}

Hope this helps!