1. 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)

2. Notes 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 chords and secants –

3. 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 –

4. 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. Ex 1 – Find RT and ST

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

6. 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. 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? 8000 mi C A B D E 9250 mi P

7. HW – Out – Describe how to find the length of a tangent segment using the theorems in this section. Summary – Now, I can figure out…