# Find the standard equation of the circle: C(-5,6) tangeant to y axis?

##### 2 Answers

See below

#### Explanation:

Circle general equation is

If circle must be tangent to y axis, the distance from center to y axis to the given point is

The equation is

I assume the notation

Since the circle is given as tangent to the y-axis

the distance from the center to the y-axis (i.e. the radius) is

(since all points on the y-axis have

The required result may depend upon your understanding of what is meant by "the standard equation" for a circle.

I will use

as the "standard form" for a circle with center

So, in this case we have

...or, maybe your version of the standard form might be an expansion of this: