Circle - Properties

A circle, in Euclidean geometry, is the set of all points at a fixed distance, called the radius, from a fixed point, the centre. The points can only be those that are part of a conic section; within the set of a plane bisecting a cone. Circles are simple closed curves, dividing the plane into an interior and exterior. Sometimes the word circle is used to mean the interior, with the circle itself called the circumference(C). Usually however, the circumference means the length of the circle, and the interior ...

Including:

• Circle - Mathematical definitions
• Circle - Properties
• Circle - Chord properties
• Circle - Tangent properties
• Circle - Inscribed angle theorem
• Circle - Secant tangent and chord properties

Read more here: » Circle: Encyclopedia - Circle

Circle - Chord properties. Chords equidistant from the centre of a circle are equal. Equal chords are equidistant from the centre. A line from the centre, perpendicular to a chord, bisects the chord. The line segment drawn from the centre to the midpoint of the chord is perpendicular to the chord. The perpendicular bisector of a chord passes t ...

See also:

Circle, Circle - Mathematical definitions, Circle - Properties, Circle - Chord properties, Circle - Tangent properties, Circle - Inscribed angle theorem, Circle - Secant tangent and chord properties

Read more here: » Circle: Encyclopedia II - Circle - Properties

In an x-y coordinate system, the circle with centre (a, b) and radius r is the set of all points (x, y) such that If the circle is centred at the origin (0, 0), then this formula can be simplified to: The circle centred at the origin with radius 1 is called the unit circle. Expressed in parametric equations, (x, ySee also:

Circle, Circle - Mathematical definitions, Circle - Properties, Circle - Chord properties, Circle - Tangent properties, Circle - Inscribed angle theorem, Circle - Secant tangent and chord properties

Read more here: » Circle: Encyclopedia II - Circle - Mathematical definitions

In an x-y coordinate system, the circle with centre (a, b) and radius r is the set of all points (x, y) such that If the circle is centred at the origin (0, 0), then this formula can be simplified to x2 + y2 = r2. The circle centred at the origin with radius 1 is called the unit circle. Expressed in parametric equations, (x, y) can be written as x = a + r cos(t)