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YouTube

Geometry - Circles

Michel van Biezen via YouTube

Overview

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Explore the comprehensive geometric properties and relationships of circles through this video playlist series spanning 2 hours and 44 minutes. Begin with fundamental concepts including circle definitions, radius, diameter, and circumference calculations involving pi, then progress through more complex topics such as inscribed and circumscribed polygons, arc length measurements, and chord properties. Master angle measurements within circles including inscribed angles, exterior angles, and off-center angles, while learning about tangent lines and their special properties. Discover the relationships between chords equidistant from the center, congruent arcs, and the special case of angles inscribed in semicircles equaling 90 degrees. Practice applying these concepts through extensive review exercises that reinforce understanding of circle geometry principles, making this an ideal resource for students studying geometric relationships and properties specific to circular figures.

Syllabus

Geometry - Ch. 6: Circles (1 of 39) What is a Circle?
Geometry - Ch. 6: Circles (2 of 39) Radius and Diameter
Geometry - Ch. 6: Circles (3 of 39) Circumference and the Number pi
Geometry - Ch. 6: Circles (4 of 39) Square Inside a Circle
Geometry - Ch. 6: Circles (5 of 39) Rectangle Inside a Circle
Geometry - Ch. 6: Circles (6 of 39) Arc Length (Segment of Arc)
Geometry - Ch. 6: Circles (7 of 39) Square Circumscribed a Circle
Geometry - Ch. 6: Circles (8 of 39) A Harder Example
Geometry - Ch. 6: Circles (9 of 39) Angle Measure
Geometry - Ch. 6: Circles (10 of 39) Diameters and Chords
Geometry - Ch. 6: Circles (11 of 39) Chords Equidistance From the Center
Geometry - Ch. 6: Circles (12 of 39) Chords Equidistant From the Center
Geometry - Ch. 6: Circles (13 of 39) If an Angle is Inscribed in a Circle, then...
Geometry - Ch. 6: Circles (14 of 39) Inscribed Angle: Special Cases
Geometry - Ch. 6: Circles (15 of 39) Inscribed Angle: Special Cases Calculated
Geometry - Ch. 6: Circles (16 of 39) Congruent Arcs
Geometry - Ch. 6: Circles (17 of 39) Inscribed Triangle, Square, Pentaon, ...
Geometry - Ch. 6: Circles (18 of 39) Tangent Lines
Geometry - Ch. 6: Circles (19 of 39) Tangent Lines: Another Example
Geometry - Ch. 6: Circles (20 of 39) Angles Exterior to the Circle
Geometry - Ch. 6: Circles (21 of 39) Angles That Are Off-Center
Geometry - Ch. 6: Circles (22 of 39) Angles That Are Off-Center
Geometry - Ch. 6: Circles (23 of 39) Angle Measurement: Summary
Geometry - Ch. 6: Circles (24 of 39) Angle Measurement: Examples Set 1
Geometry - Ch. 6: Circles (25 of 39) Angle Measurement: Examples Set 2
Geometry - Ch. 6: Circles (26 of 39) Show that an Angle Inscribed a Semi-Circle=90 degrees
Geometry - Ch. 6: Circles (27 of 39) Common Arc Length
Geometry - Ch. 6: Circles (28 of 39) Review Exercise: Set 1 of 12
Geometry - Ch. 6: Circles (29 of 39) Review Exercise: Set 2 of 12
Geometry - Ch. 6: Circles (30 of 39) Review Exercise: Set 3 of 12
Geometry - Ch. 6: Circles (32 of 39) Review Exercise: Set 5 of 12
Geometry - Ch. 6: Circles (33 of 39) Review Exercise: Set 6 of 12
Geometry - Ch. 6: Circles (34 of 39) Review Exercise: Set 7 of 12
Geometry - Ch. 6: Circles (35 of 39) Review Exercise: Set 8 of 12
Geometry - Ch. 6: Circles (36 of 39) Review Exercise: Set 9 of 12
Geometry - Ch. 6: Circles (37 of 39) Review Exercise: Set 10 of 12
Geometry - Ch. 6: Circles (38 of 39) Review Exercise: Set 11 of 12
Geometry - Ch. 6: Circles (39 of 39) Review Exercise: Set 12 of 12

Taught by

Michel van Biezen

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