Secant
Secant
A secant is a line that intersects a circle in two points.
Theorem :
Geometry
Forum reference:
Book page:
http://course-notes.org/Geometry
Angles and Segments
Angles and Segments
Inscribed angles are angles whose vertex is in the circle and the sides contain chords of the circle.
Theorem:
The measure of an inscribed angle is equal to half of the measure of its intercepted arc.
Corollary 1:
Angles and Segments
Angles and Segments
Arcs and Chords
Arcs and Chords:
Theorem:
In congruent circles or in the same circle:
1. Congruent arcs have congruent chords.
2. Congruent chords have congruent arcs.
Theorem:
Arcs
Arcs:
An arc is an unbroken part of a circle.
Consider the circle:
If EF is the diameter then the arcs formed are semi circles.
Tangents
Tangents:
A tangent of a circle is a line in the same plane as the circle and the line intersects the circle at exactly one point, called the point of tangency.
Theorem:
Circles
Circles
A circle is a set of points in a plane that are equidistant from a fixed point. A circle is denoted by 
.
Tangent, Arcs, Chords and Circles
Tangent, Arcs, Chords and Circles
Cosine Ratio
Cosine Ratio:
From the right triangle:
The cosine ratio is defined as:
abbreviated as:
Sine Ratio
Sine Ratio:
From the right triangle:
The sine ratio is defined as:
abbreviated as:
Pages
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