Circle Theorems

This geometry video tutorial provides a basic introduction into circle theorems. It contains plenty of examples and practice problems.

Here is a list of topics:
1. If a radius is perpendicular to a chord, it bisects the chord into two congruent segments. The point of contact is the midpoint. Therefore, the radius becomes the perpendicular bisector of the chord.
2. Radius and diameter relationships in a circle
3. Circumference of a circle
4. Area of an circle
5. Congruent Chords Theorem – if two chords are equidistant from the center of a circle, then they are congruent.
6. Major Arcs, Minor Arcs, and Semicircles
7. Central angles and arc measures
8. Secant Lines and Tangent Lines
9. A tangent line is always perpendicular to the radius of the circle
10. Two tangent theorem
11. Tangent circles – internally tangent vs externally tangent
12. Common Tangents – common internal tangent vs common external tangent
13. Central angles and inscribed angles
14. Inscribed angles in circles & intercepted arcs
15. Tangent chord angles
16. Chord chord angles
17. Tangent tangent angles
18. Secant secant angles
19. Secant tangent angles
20. Congruent arcs theorem
21. Right angles, right triangles, diameter & semicircles
22. Quadrilaterals Inscribed In a Circle
23. Opposite angles of a quadrilateral inscribed in a circle are supplementary
24. Power Theorems
25. Chord chord power theorem
26. Tangent secant power theorem
27. Secant secant power theorem
28. Arc length of a circle
29. Area of a sector of a circle

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