Arc - Conic Arc

Arc in GeoGebra is a conic arc. See circular arc for part of the circumference of a circle.

Definition: A conic arc of a conic section (circle or ellipse) is a continuous piece of the circumference of the conic.

InterActivity: Directions

In the Algebra View (at left), click and leave your mouse on f to see the definition Arc f:Arc[d,t1,t2].

The default value of t1= \pi /4 and t2=2 \cdot \pi /3 . Notice that the arc f marks this angle from the major axis.

In the Graphics View (at right), click and drag sliders t1 and t1 and notice how the arc f changes.

Command: Arc[<conic c>, <number t1>, <number t2>]

Conic section arc between two parameter values t1 and t2 for the following parameter forms:

circle: (r cos(t), r sin(t)), where r is the circle's radius
ellipse: (a cos(t), b sin(t)), where a and b are the lengths of the first and second axis

Command: Arc[ <Conic>, <Point>, <Point> ]

Conic section arc between two points A and B on the conic section c (circle or ellipse)