SOLUTION: In a rectangular coordinate system, the center of a circle has coordinates (5,12), and the circle touches the x-axis at one point only. What is the radius of the circle?

Question 93649: In a rectangular coordinate system, the center of a circle has coordinates (5,12), and the circle touches the x-axis at one point only. What is the radius of the circle?
Found 2 solutions by praseenakos@yahoo.com, edjones:
Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
Question:
In a rectangular coordinate system, the center of a circle has coordinates (5,12), and the circle touches the x-axis at one point only. What is the radius of the circle?
Answer:

If the the circle touches the X axis at one point only, then radius of the circle will be the x coordinate of the centre.

that is , radius = 5

Hope you understood.

Regards.
Praseena.

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
In the rectangular coordinate system the x axis number is written 1st.
So, in your problem the x coordinate is 5 and the y coordinate is 12.
The fact that circle touches the x (horizontal) axis only once means that the bottom of the circle is resting on it. Therefore, the center of the circle is 12 units above the x axis and the radius is 12.
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