1. 11.6 Segment Relationships in Circles
Geometry

2. Theorem:

3. Example:
Find the value of x and the length of each chord. J

4. Example:
Find the value of x and the length of each chord.

5. Example:
Find the value of d and the length of each chord.

6. Example:
The art department is contracted to construct a wooden moon for a play. One of the artists creates a sketch of what it needs to look like by drawing a chord and its perpendicular bisector. Find the diameter of the circle used to draw the outer edges of the moon.

7. Example:
Suppose the length of chord AB was 12 in. How long is the disks diameter?
6 in.

8. Example:
Find the diameter of the plate.

9. Definitions:
Secant Segment- a segment of a secant with at least one endpoint on the circle
External Secant Segment: A secant segment that lies in the exterior of the circle with one endpoint on the circle

10. Diagram

11. Theorem:

12. Example:
Find x and the length of each secant segment.

13. Example:
Find the value of z and the length of each secant segment.

14. Example:
Find the value of x and the length of each secant segment.

15. Definition:
Tangent Segment: a segment of a tangent line with one endpoint of the circle.

16. Theorem:

17. Example:
Find the value of x.

18. Example:
Find the value of y.

19. Example:
Find the value of a.