Chord

The Line Segment joining two points on a curve. The term is often used to describe a Line Segment whoseends lie on a Circle. In the above figure, is the Radius of the Circle, is called theApothem, and the Sagitta.

The shaded region in the left figure is called a Sector, and the shaded region in the right figure is called a Segment.

All Angles inscribed in a Circle and subtended by the same chord are equal. The converse is alsotrue: The Locus of all points from which a given segment subtends equal Angles is a Circle.

Let a Circle of Radius have a Chord at distance . The Area enclosed by the Chord, shownas the shaded region in the above figure, is then

(1)

(2)

(3)

			(4)

(5)

• de Morgan's Laws
• Dendrite Fractal
• Denjoy Integral
• Denominator
• Dense
• Density
• Density (Polygon)
• Density (Sequence)
• Denumerable Set
• Denumerably Infinite
• de Polignac's Conjecture
• Depth (Graph)
• Depth (Size)
• Depth (Statistics)
• Depth (Tree)
• Derangement
• de Rham Cohomology
• Derivative
• Derivative Test
• Derived Set
• Dervish
• Desargues' Theorem
• Descartes Circle Theorem
• Descartes-Euler Polyhedral Formula
• Descartes Folium