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.
For a semicircle try:
For a quarter of a circle try:
For three-fourths of a circle try: