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Circle Properties
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Arc
A contiguous segment of the circumference of a circle.
Concentric Circles
Circles that share the same center but have different radii.
Sector
The region of a circle bounded by two radii and the intercepted arc.
Diameter
A chord that passes through the center of the circle, calculated as
Pi (π)
A mathematical constant, approximately equal to 3.14159, representing the ratio of a circle's circumference to its diameter.
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.
Secant
A line that intersects a circle at two points.
Area
The space enclosed by the perimeter of the circle, calculated with the formula
Chord
A segment whose endpoints lie on the circle.
Inscribed Angle
An angle formed by two chords in a circle which share an endpoint.
Tangent
A line that intersects the circle at exactly one point.
Central Angle
An angle whose vertex is at the center of the circle and whose sides are 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.
Common Tangent
A line or segment that is tangent to two circles.
Tangent Circles
Two circles that intersect at exactly one point.
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.
Annulus
The region between two concentric circles of different radii.
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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