The curved segment that is between two points in the circumference of a circle.
The distance between an arc's endpoints along the path of the circle.
Center of a circle
The point that all points in the circle are equidistant from.
Central angle of a circle
An angle whose vertex is the center of the circle.
Chord of a circle
A segment whose endpoints are on a circle.
The set of points on a plane at a certain distance (radius) from a certain point (center); a polygon with infinite sides.
An arc whose endpoints form an angle less than 180 degrees with the center of the circle.
An arc whose endpoints form an angle over 180 degrees with the center of the circle.
Plural form of radius.
The segment whose endpoints are any point on a circle or sphere and its center; the length of that segment.
Secant to a circle
A line that intersects the circle in two points.
Part of a circle containing its center and an arc.
An arc whose central angle is a right angle.
Tangent to a circle
A line that intersects the circle in just one point, called point of tangency.
Interactive Geometric Applets: Relevant Theorems.
The angle formed by two secants intersecting outside the circle,
is determined by half the difference of the absolute value of the
two intersected arcs in between the secants.
Drag any of the movable points in this interactive
geometric applet to verify the relationship.
A secant and a tangent intersecting at an exterior point of the circle,
form an angle that is half the difference of the absolute value of the
intersected arcs, being these the in between the segments arcs. Drag any point
in the figure of the interactive applet to verify the relationship.
Be careful to keep the arcs at opposite sides of the circle.
Two tangents that intersect in the exterior of the circle, make an angle
that is half the difference of the absolute value of the two intercepted arcs in the circle.
Drag any point to verify this relationship in this interactive
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