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Chapter 1: Q.57 (page 51)

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

Expert verified

An equation for the path of the center of the circley=2

Step by step solution

01

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 .

02

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

03

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

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