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11.6 Segment Relationships in Circles
Geometry
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Theorem:
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Example: Find the value of x and the length of each chord. J
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Example: Find the value of x and the length of each chord.
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Example: Find the value of d and the length of each chord.
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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.
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Example: Suppose the length of chord AB was 12 in. How long is the disks diameter? 6 in.
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Example: Find the diameter of the plate.
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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
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Diagram
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Theorem:
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Example: Find x and the length of each secant segment.
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Example: Find the value of z and the length of each secant segment.
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Example: Find the value of x and the length of each secant segment.
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Definition: Tangent Segment: a segment of a tangent line with one endpoint of the circle.
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Theorem:
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Example: Find the value of x.
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Example: Find the value of y.
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Example: Find the value of a.
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