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11.6 Segment Relationships in Circles

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Presentation on theme: "11.6 Segment Relationships in Circles"— Presentation transcript:

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.


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