Question

Determine the equation of the circle graphed below.

Answer 1

`(x - 6)^2 + (y - 2)^2 = 4`

Explanation:

Required

The equation of the circle

The equation of a circle is:

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

Where:

`Center = (h,k)`

`radius \to r`

From the graph, we have

`(h,k) = (6,2)`

`r = 2`

So:

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

`(x - 6)^2 + (y - 2)^2 = 2^2`

`(x - 6)^2 + (y - 2)^2 = 4`