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Sect. 12-6 Circles and Lengths of Segments

Sect. 12-6 Circles and Lengths of Segments. Geometry Honors. What and Why. What? Find the lengths of segments associated with circles. Why? To use the lengths of segments associated with circles in real-world applications such as architecture. Segments.

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Sect. 12-6 Circles and Lengths of Segments

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  1. Sect. 12-6Circles and Lengths of Segments Geometry Honors

  2. What and Why • What? • Find the lengths of segments associated with circles. • Why? • To use the lengths of segments associated with circles in real-world applications such as architecture.

  3. Segments • Secant Segment Tangent Segment

  4. Theorem 12-14

  5. Theorem 12-15 • If two secant segments are drawn from a point outside a circle. The product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment.

  6. Theorem 12-16 • If a tangent and a secant are drawn from a point outside a circle, then the products of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment.

  7. Example

  8. Find the value of each variable.

  9. Find the value of each variable

  10. Find the value of each variable

  11. Find the value of each variable

  12. Example • The arch of a pedestrian bridge is an arc of a circle. A 14 ft chord is 4.8 feet from the edge of the circle. Find the radius of the circle.

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