Sphere and circles

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One group member will plot a sphere with two circles on it.

One group member will produce a plot like this one:

This is a sphere of radius $3$ with two circles on it:

A great circle. Read more about great circles here.
A regular (non-great) circle. Read more about circles on a sphere here.

As a gesture of friendship, I will tell you that the parametric formula for a sphere of radius $R$ is:

$\begin{align*} x(s,t) &= R\cdot \cos(t)\sin(s)\\ y(s,t) &= R\cdot \sin(t)\sin(s)\\ z(s,t) &= R\cdot \cos(s), \end{align*}$

where $0\le t< 2\pi$ and $0\le s \le \pi$ .

You may color you circles any color you like—though you must make them different colors.