Write the equation of a circle given center and tangent to the x axis

The video tutorial explains how a circle is tangent to the X axis, meaning it touches the axis at one point. It highlights the importance of knowing the circle's radius and center to define it. The tutorial then derives the equation of the circle using these properties, showing that the radius is 2 and the center is at (4, 2). The final equation is presented as (X - 4)^2 + (Y - 2)^2 = 4.

How is the equation of the circle derived from its center and radius?

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What does the final equation of the circle represent?

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