Question

If a circle of radius 2 is made to roll along the x-axis, what is an equation for the path of the center of the circle?

Short answer

An equation for the path of the center of the circle$y=2$

Step-by-step solution

Given information

Here a circle of radius 2 is made to roll along the x-axis

We have to find the equation for the path of the center of the circle .

Step 2.  Sketching graph according to the given information

When a circle of radius 2 is made to roll along the x-axis, the graph is given below

Step 3, Formulating the equation

Based on the sketched graph we can see that centers of circles are joined by a line and equation of that line is y=2