Cylindrical Coordinates: Dynamic Illustrator
Students:
You can use this applet to help you better visualize plotting points in 3-space on a CYLINDER. (Hence, the name cylindrical coordinates).
Cylindrical coordinates are expressed in the form .
For , this applet uses units of RADIANS.
The ORANGE POINT = THE POINT YOU'RE PLOTTING.
How can we describe what each of the 3 coordinates tells us?
(Explain as best you can in your own words).
To explore this within Augmented Reality, see the directions below the first screencast.
TO EXPLORE IN AUGMENTED REALITY:
1) Open up GeoGebra 3D app on your device.
2) Go to MENU, OPEN. Under SEARCH, type the resource id (in URL above): tV6CZy9Y
3) If you want to see the cylinder, find the variable j and set it equal to true (instead of false).
4) The slider a controls r.
The slider b controls .
The slider c controls z.
The e slider dynamically plots the point.
If you want to see the cylinder in AR, change the line j = false to j = true
The filling slider controls the shading of this cylinder.