Arc and Sector Commands

Note: The algebraic value of an arc is its length and the value of a sector is its area.

Arc

Arc[Conic, Point A, Point B]: Returns a conic section arc between two points A and B on the conic section c.       
Note: This only works for a circle or ellipse.

Arc[Conic, Number t1, Number t2]: Returns a conic section arc between two parameter values t1 and t2 on the conic section.
Note: Internally the following parameter forms are used:

·        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 semimajor and semiminor axis.

CircularArc

CircularArc[Point M, Point A, Point B]: Creates a circular arc with midpoint M between points A and B.        
Note: Point B does not have to lie on the arc.

 

Note: Also see tool mode_circlearc3_32 Circular Arc with Center between Two Points

CircularSector

CircularSector[Point M, Point A, Point B]: Creates a circular sector with midpoint M between two points A and B.          
Note: Point B does not have to lie on the arc of the sector.

 

Note: Also see tool mode_circlesector3_32 Circular Sector with Center between Two Points

CircumcircularArc

CircumcircularArc[Point A, Point B, Point C]: Creates a circular arc through three points A, B, and C, where A is the starting point and C is the endpoint of the circumcircular arc.

 

Note: Also see tool mode_circumcirclearc3_32 Circumcircular Arc through Three Points

CircumcircularSector

CircumcircularSector[Point A, Point B, Point C]: Creates a circular sector whose arc runs through the three points A, B, and C. Point A is the starting point and point C is the endpoint of the arc.

 

Note: Also see tool mode_circumcirclesector3_32 Circumcircular Sector through Three Points

Sector

Sector[Conic, Point A, Point B]: Yields a conic section sector between two points A and B on the conic section.          
Note: This works only for a circle or ellipse.

Sector[Conic, Number t1, Number t2]: Yields a conic section sector between two parameter values t1 and t2 on the conic section.
Note: Internally the following parameter forms are used:

·        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 semimajor and semiminor axis.

Semicircle

Semicircle[Point A, Point B]: Creates a semicircle above the segment AB.

 

Note: Also see tool mode_semicircle_32 Semicircle


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