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)

• Monkey and Coconut Problem
• Monkey Saddle
• Monochromatic Forced Triangle
• Monodromy
• Monodromy Group
• Monodromy Theorem
• Monogenic Function
• Monohedral Tiling
• Monoid
• Monomial
• Monomino
• Monomorph
• Monomorphism
• Monotone
• Monotone Decreasing
• Monotone Increasing
• Monotonic Function
• Monotonic Sequence
• Monotonic Voting
• Monster Group
• Monte Carlo Integration
• Monte Carlo Method
• Montel's Theorem
• Monty Hall Dilemma
• Monty Hall Problem