Visualizing a Circle on a 3D Graph Using Parameterization

[karush]

$\textsf{graph the given}$
\begin{align*}\displaystyle
y^2+z^2&=16\\
x&=5
\end{align*}

ok I know this is circle $||$ to the yz axis 5 units away

but want to show this circle on a 3d view (tried W|F but )

ok found this
the parameterization of radius r around the axis, centered at
$(c_1,c_2,c_3)$, is given by
\begin{align}
x(\theta)&=c_1+\cos{(\theta)}a_1+\sin{(\theta)}b_1\\
y(\theta)&=c_2+\cos{(\theta)}a_2+\sin{(\theta)}b_2\\
z(\theta)&=c_3+\cos{(\theta)}a_3+\sin{(\theta)}b_3
\end{align}
but what online grapher would take it.

 

[karush]

Re: z12.1.3 online 3d grapher

OK I spent about 2 hours trying to find an online 3D graphing app that would plot a circle in 3d space
but found all these exotic ones for surfaces and such but could not get a circle to plot
well if anybody strikes gold on this I would like to know

I just need a circle on the yz plane moved to x=5 with a radius of 4...

if $(c_1,c_2,c_3)$ is the center then
\begin{align}
x(\theta)&=c_1+\cos{(\theta)}a_1+\sin{(\theta)}b_1\\
y(\theta)&=c_2+\cos{(\theta)}a_2+\sin{(\theta)}b_2\\
z(\theta)&=c_3+\cos{(\theta)}a_3+\sin{(\theta)}b_3
\end{align}
is the circle

 

[I like Serena]

Re: z12.1.3 online 3d grapher

W|A will do the job: plot x=5,y=4cos t,z=4sin t - Wolfram|Alpha Results
Apparently it's not willing to do the set of equations, but it will do the parametric representation.

 

[karush]

Re: z12.1.3 online 3d grapher

wow that is definitely gold to me

mucho Mahalo