Answer to Question #270004 in Analytic Geometry for Angel Nodado

Question

Find the equation in general form of the circle with center (3,5) and tangent to the x axis.

Answer 1

X-axis touches the circle. So, the altitude from the center is the radius of the circle.

The altitude is center's y-coordinate =5.

So the equation of the circle becomes ;

$(x-3)^2+(y-5)^2=5^2$