Question

Find the equation of the circle which is tangential to the x-axis at (2,0) and touches the line y=6.

Answer 1

\( (x - h)^2 + (y - k)^2 = r^2 \)
is the equation of a circle with center (h, k) and radius r.

Answer 2

@smourin ask a question if you dont understand something.

Answer 3

how do you calculate the equation of the circle without drawing a diagram?

Answer 4

well diameter is given by the fact that the two lines are parallel, so we know r, and its pretty easy to "picture" that the center point is halfway on x = 2