Arc and Sector

The algebraic value of an arc is its lenght, the value of a sector is its area.

Semicircle

Semicircle[point A, point B]

Semicircle above the segment AB.

CircularArc

CircularArc[point M, point A, point B]

Circular arc with midpoint M between two points A and B. Note: point B does not have to lie on the arc.

CircumcircularArc

CircumcircularArc[point, point, point]

Circular arc through three points

Arc

Arc[conic c, point A, point B]

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

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

CircularSector

CircularSector[point M, point A, point B]

Circular sector with midpoint M between two points A and B. Note: point B does not have to lie on the arc.

CircumcircularSector

CircumcircularSector[point, point, point]

Circular sector through three points

Sector

Sector[conic c, point A, point B]

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

Sector[conic c, number t1, number t2]

Conic section sector 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