Arcs and Chords 9.3.3.8 Know and apply properties of a circle to solve problems and logically justify results.

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Arcs and Chords Know and apply properties of a circle to solve problems and logically justify results.

Guiding Question: What other types of lines go through a circle and how do they work? Lesson Obj: IWBAT know and apply properties of a circle to solve problems. Definition: Chord: Any segment whose endpoints lie on the circle.

Guiding Question: What other types of lines go through a circle and how do they work? Properties to be aware of. With congruent chords

Guiding Question: What other types of lines go through a circle and how do they work? Property: A radius is perpendicular to a chord, bisects the chord, and the arc. Corollary: Any line that is bisects the chord and is perpendicular is a radius.

Find the length of both chords and then find the radius of the circle. The radius is 13 in and the chord is 5 in away from center. Find the length of the chord. Solve the problem. Guiding Question: What other types of lines go through a circle and how do they work?

Assignment: Arcs and Chords Worksheet