Question

Circle has the equation `(x-2)^2 + (y-5)^2=100`, how do you graph the circle using the center (h,k) radius r?

Answer 1

Draw a circle with center `(2,5)` and radius `10`

Explanation:

The general equation for a circle centered at `(color(red)(h),color(blue)(k))` with radius `color(green)(r)` is:
`color(white)("XXX")(x-color(red)(h))^2+(y-color(blue)(k))^2=color(green)(r)^2`

`(x-color(red)(2))^2+(y-color(blue)(5))^2= color(green)(10)^2 (=100)`
is in this form.
graph{(x-2)^2+(y-5)^2=100 [-18.53, 27.07, -7.23, 15.57]}