# How do you write an equation for a circle given center (4,2) and tangent to the x-axis?

##### 1 Answer

Oct 30, 2016

#### Answer:

Please see the explanation.

#### Explanation:

The standard form of the equation of a circle is:

where

Substitute the center point

Because the center is 2 units above the x axis and the circle is tangent to the x axis, the radius must be 2: