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Solved: Parametric equations of circles Find parametric
Chapter 8, Problem 20E(choose chapter or problem)
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 12, generated clock-wise with initial point (0, 12)
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 12, generated clock-wise with initial point (0, 12)
ANSWER:Solution 20E
Step 1:
In general we can say that a circle generated clockwise centered at the origin, with radius r, is the locus of all points that satisfy the equations
x =
y =
Which are the parametric equations of circle with radius r.here the parameter is