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 clockwise with initial point (0, 12)

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