Unroll a Circle
- A B Cron
Step Instructions 1 Create Slider a from 0 to 2 π (enter 2 π by typing 2 pi) 2 Type Origin = (0,0) into Input. 3 Type (a, 0) 4 Type C = (a, 1) 5 Type Circle[C,1] 6 Segment[Origin,A], draw or type command, a) change color (red), heavy line; SetColor[ c, "Red" ], SetLineThickness[ c, 8 ] 7 Rotate Object around Point by Angle: click on Point A then C rotated by angle (type) 2 π - a 8 CircularArc center between two points click on the points in this order [C, A, A'], a) change arc color (red), heavy line to match #6; SetColor[ c, "Red" ], SetLineThickness[ c, 8 ].
Tools needed in order of need: Slider, Rotate Object around a Point, and Circular Arc. This construction will help you learn how to construction in GeoGebra.