Parametric equations of circles Find parametric equations

Chapter 8, Problem 19E

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QUESTION:

Parametric equations of circles  Find parametric equations for the following circles (give an interval for the parameter values). Graph the circle and find a description in terms of x and y. There is more than one way to describe any circle.

A circle centered at the origin with radius 4, generated counterclockwise.

Questions & Answers

QUESTION:

Parametric equations of circles  Find parametric equations for the following circles (give an interval for the parameter values). Graph the circle and find a description in terms of x and y. There is more than one way to describe any circle.

A circle centered at the origin with radius 4, generated counterclockwise.

ANSWER:

Solution 19EStep 1:In general we can say that a circle centered at the origin, with radius r, is the locus of all points that satisfy the equationsx = y = Which are the parametric equations of circle with radius r.here the parameter is

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