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Circle Properties
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Circumference
The perimeter of a circle, calculated with the formula or
Radius
The distance from the center of the circle to any point on its circumference, represented by the letter r.
Diameter
A chord that passes through the center of the circle, calculated as
Area
The space enclosed by the perimeter of the circle, calculated with the formula
Pi (π)
A mathematical constant, approximately equal to 3.14159, representing the ratio of a circle's circumference to its diameter.
Chord
A segment whose endpoints lie on the circle.
Tangent
A line that intersects the circle at exactly one point.
Secant
A line that intersects a circle at two points.
Arc
A contiguous segment of the circumference of a circle.
Central Angle
An angle whose vertex is at the center of the circle and whose sides are radii.
Inscribed Angle
An angle formed by two chords in a circle which share an endpoint.
Sector
The region of a circle bounded by two radii and the intercepted arc.
Concentric Circles
Circles that share the same center but have different radii.
Annulus
The region between two concentric circles of different radii.
Cyclic Quadrilateral
A quadrilateral where all four vertices lie on the circumference of a circle.
Similar Circles
Circles that have the same shape but differing sizes; their radii are proportional.
Tangent Circles
Two circles that intersect at exactly one point.
Common Tangent
A line or segment that is tangent to two circles.
Chromatic Number of a Circle
The minimum number of colors needed to color a plane such that no two points at distance exactly one from each other have the same color; for a circle, it equals 2.
Circle Graph
A graph where each vertex represents a chord of a circle, and two vertices are adjacent if and only if the chords intersect.
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