11.6 Segment Relationships in Circles Geometry

11-6 Segment Relationships in Circles

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

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

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

Diagram

Theorem:

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

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

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

Theorem:

Ex. 5 Find the value of x.

Ex. 6 Find the value of y.

Assignment

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

Example: Find the value of a.

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.

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

Ex. 6 Find the diameter of the plate.

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