Q.57
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?
Step-by-Step Solution
Verified Answer
An equation for the path of the center of the circle
1Given 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 .
2Step 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
3Step 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
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