GeoGebra Classroom

# 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.