Question

Complete equation for the circle with center (4,8) and radius 2.

Answer 1

We are asked to determine the equation of a circle centered at (h, k) = (4, 8) and radius 2. We will apply the following equation of a circle:

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

Where (h, k) is the center of the circle and "r" is the radius. Replacing the values:

`(x-4)^2+(y-8)^2=4`

and thus we get the equation of the circle.