Assignment 10: Parametric Curves

Laura Dickerson

In the above graph, we have constructed the unit circle as a parametric
curve. What if we instead want to construct a larger or even a smaller circle
using parametric curves. This may be a great challenge for students to work
on. What they will learn is that they will have to change the values of
the **x** and **y **not the **t**. If we graph x = n cos t and
y = n cos t, we will get circles varying in sizes.

Another change that we might want is to only look at part of the circle. The following equations will graph only part of the unit circle.

For a semicircle try:

For a quarter of a circle try:

For three-fourths of a circle try:

Laura's
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