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?
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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
More importantly, does it change it distance from the x-axis?
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?
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?
Originally Posted by magentarita Is the equation y = 6? The line stays the same distance from the axis, right? Yes it is.
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?
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.
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
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