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Label the Parts of the Circle

Label the Parts of the Circle. Center Radius Diameter Minor Arc Major Arc Chord Secant Tangent. Circles. Unit Essential Question: How does the intersection of lines and circles create specific arcs, lengths and angles?. 8-1 Tangent Lines. Essential Question:

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Label the Parts of the Circle

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  1. Label the Parts of the Circle • Center • Radius • Diameter • Minor Arc • Major Arc • Chord • Secant • Tangent

  2. Circles Unit Essential Question: How does the intersection of lines and circles create specific arcs, lengths and angles?

  3. 8-1 Tangent Lines Essential Question: What are the segment relationships when two intersecting lines pass through a circle?

  4. Tangent

  5. IF it’s not perpendicular • THEN create OL perpendicular to n. • BUT… • SO OP is perpendicular to n.

  6. If the segments are Tangent,Then find x.

  7. Converse of Theorem 12-1 • Is ML tangent?

  8. Inscribed and Circumscribed

  9. Find the Perimeter of each Triangle:

  10. Find x to nearest Hundreth:

  11. 8-2 Chords and Arcs Essential Question: What are the segment relationships when two intersecting lines pass through a circle?

  12. Chord • A chord is a point whose endpoints are on a circle. • A secant is a line that intersects a circle in two points.

  13. Chords Examples • Find a: Find x:

  14. Find each missing length to nearest hundreth:

  15. Example:

  16. Exploring Inscribed Angles

  17. 8-3 Inscribed Angles Essential Question: What are the angle relationships when two intersecting lines pass through a circle?

  18. Inscribed Angles

  19. Example: • Find a and b.

  20. Corollaries:

  21. Tough Example: • Find x and y.

  22. Opener

  23. 8-4 Angle Measures & Segment Lengths Essential Question: What are the angle relationships when two intersecting lines pass through a circle?

  24. Chords and Secants • Secant – line intersecting circle at 2 points. • Chord – Segment with endpoints on the circle.

  25. Inside: ADD Outside: SUBTRACT

  26. Examples:

  27. Segment Lengths:

  28. Examples:

  29. Wankel Engine

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