1. ## Circle of Radius 6

If a circle of radius 6 is made to roll along the x-axis, what is an equation for the path of the center of the circle?

2. Originally Posted by magentarita
If a circle of radius 6 is made to roll along the x-axis, what is an equation for the path of the center of the circle?
Think about it. Does the center of the circle change its position [with respect to the y axis] as it rolls along the x axis?

--Chris

3. More importantly, does it change it distance from the x-axis?

4. ## ok but...

Originally Posted by Chris L T521
Think about it. Does the center of the circle change its position [with respect to the y axis] as it rolls along the x axis?

--Chris
Are your saying that the equation is y = 6?

5. ## Is the equation....

Originally Posted by HallsofIvy
More importantly, does it change its distance from the x-axis?
Is the equation y = 6?

The line stays the same distance from the axis, right?

6. Originally Posted by magentarita
Is the equation y = 6?

The line stays the same distance from the axis, right?

Yes it is.

7. ## I got it now...

Originally Posted by masters
Yes it is.
I got it now. By the way, if a circle with radius 6 was rolling down the y-axis, then the line would be x = 6, right?

8. Originally Posted by magentarita
I got it now. By the way, if a circle with radius 6 was rolling down the y-axis, then the line would be x = 6, right?
Only if it were rolling down the right side of the y-axis. And on the other question, we assumed that the circle was rolling on top of the x-axis.

9. ## So it makes.....

Originally Posted by masters
Only if it were rolling down the right side of the y-axis. And on the other question, we assumed that the circle was rolling on top of the x-axis.
So, it does make a difference on which side of the x and y axis the circle is rolling.

Thanks