Question

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

Answer 1

Circle radius 10 centered on the origin.

Explanation:

The formula for the graph of a circle centered on `(h,k)` is:

`(x-h)^2+(y-k)^2=r^2`

you have:

`(x-0)^2+(y-0)^2=10^2`

so it is a circle of radius 10 centered at `(0,0)`

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

Answer 2

See below:

Explanation:

The equation of a circle is given by

`(x-h)^2+(y-k)^2=r^2`

with center `(h,k)` 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 `sqrt100` 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!