intercepted arcs 9 videos
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Central Angles and Intercepted Arcs
Geometry Circles
How to define a central angle and find the measure of its intercepted arc; how to describe the intercepted arcs of congruent chords.
chord central angle intercepted arc arc measure congruent chords side side side shortcut -
Arc Length
Geometry Circles
How to define arc length and how it is different from arc measure; how to calculate the length of an arc.
arc length arc measure concentric circles fraction circumference radius diameter -
Angles in Semicircles and Chords to Tangents
Geometry Circles
How to prove that an angle inscribed in a semicircle is a right angle; how to solve for arcs and angles formed by a chord drawn to a point of tangency.
inscribed angle semicircle tangent chord intercepted arc -
Inscribed Angles
Geometry Circles
How to calculate the measure of an inscribed angle.
inscribed angle intercepted arc central angle congruent arcs -
Secants
Geometry Circles
How to define a secant; how to find the length of various secants in circles.
secant intercepted arcs proportion arc measure tangent chord -
Area of a Sector
Geometry Area
How to derive the formula to calculate the area of a sector in a circle.
sector central angle intercepted arc circle radius area -
Similar Triangles in Circles and Right Triangles
Geometry Similarity
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
similar inscribed angles intercepted arc right angle circle -
Parts of a Circle
Geometry Geometry Building Blocks
How to define a circle and identify its main parts.
center chord diameter radius congruent circles concentric circles arc minor arc major arc semicircle central angle -
Cyclic Quadrilaterals and Parallel Lines in Circles
Geometry Circles
How to prove that opposite angles in a cyclic quadrilateral are congruent; how to prove that parallel lines create congruent arcs in a circle.
inscribed angles cyclic quadrilaterals parallel lines alternate interior angles
