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11.4 Segment Lengths in Circles

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11.4 Segment Lengths in Circles

Learning Objective: To find lengths of segments formed by chords, tangents, and secants and to solve real world problems involving lengths of segments in circles.

Warm-up (IN)

Learning Objective: To find lengths of segments formed by chords, tangents, and secants and to solve real world problems involving lengths of segments in circles.

.

Notes

Lengths of chords and secants –

Learning Objective: To find lengths of segments formed by chords, tangents, and secants and to solve real world problems involving lengths of segments in circles.

Lengths of Tangents and Secants –

Ex 1 – Find RT and ST

Ex 2 – In the figure below, LN=14.2 and PN=13.5. Find MN and ON.

Ex 3–When the GPS system was designed, engineers wanted to minimize both the number of satellites and the distance that the transmitters needed to send signals. If a satellite is at an altitude of 9250 miles, how far do the transmitters need to be able to send signals?

D

A

9250 mi

B

8000 mi

C

P

E

Out – Describe how to find the length of a tangent segment using the theorems in this section.

Summary – Now, I can figure out…

HW –