Question

Find the center and radius of the following circle:(x-2)^2+(y+2)^2=25

Answer 1

We have that the general equation of the circle with radius r and center (h,k) is the following:

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

in this case, we have the following equation:

`(x-2)^2+(y+2)^2=25`

notice that we can write the equation also like this:

`(x-2)^2+(y-(-2))^2=(5)^2`

notice the similarities with the general equation. We can see that the center is (h,k) = (2,-2) and the radius is r = 5