Sphere as a LOCUS: Quick Exploration and Prompt

STUDENTS:
In the GeoGebra applet below,[br][br]1) Find the slider (on the left) named [b]Animate[/b]. Slide this slider completely to the right. [br]2) Now use the [b]xcoord[/b] & [b]ycoord[/b] sliders to move the black point (that lies on the sphere) around. [br]3) Change the value of [b]r[/b] by moving the [b]r[/b] slider back and forth. [br][br]After doing so, please answer the QUESTION that appears below the applet. [br][br][b][color=#1e84cc]To explore this resource in Augmented Reality (makes a much more effective experience here), see the directions below the applet & question. [/color][/b]
QUESTION:
How would you describe ALL POSSIBLE LOCATIONS for the [b]LARGE BLACK POINT[/b] that lies on the [b][color=#ff00ff]sphere[/color][/b]? [br]Describe specifically as best you can.
TO EXPLORE IN AUGMENTED REALITY:
1) Open up GeoGebra 3D app on your device.[br][br]2) Go to MENU, OPEN. Under SEARCH, type [b]g7qmdmqw[/b][color=rgba(0, 0, 0, 0.870588235294118)].[br][br][/color]3) The [b]Animate [/b]slider controls the animation. [br] The [b]r[/b] slider adjusts the radius of the sphere.
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