1. 11.6 Segment Relationships in Circles
Geometry

2. 11-6 Segment Relationships in Circles

3. Ex. 1
Find the value of x and the length of each chord. J

4. Ex.2
Find the value of d and the length of each chord.

5. 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

6. Diagram

7. Theorem:

8. Ex. 3
Find x and the length of each secant segment.

9. Ex. 4
Find the value of z and the length of each secant segment.

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

11. Theorem:

12. Ex. 5
Find the value of x.

13. Ex. 6
Find the value of y.

14. Assignment

15. Ex.2
Find the value of x and the length of each chord.

16. Example:
Find the value of a.

17. Ex.4
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.

18. Ex. 5
Suppose the length of chord AB was 12 in. How long is the disks diameter?
6 in.

19. Ex. 6
Find the diameter of the plate.

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