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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)

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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 –

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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 –

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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

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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.

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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

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

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The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle.

The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle.

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