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Circles: Arcs, Angles, and Chords. Define the following terms Chord Circle Circumference Circumference Formula Central Angle Diameter Inscribed Angle.

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Presentation on theme: "Circles: Arcs, Angles, and Chords. Define the following terms Chord Circle Circumference Circumference Formula Central Angle Diameter Inscribed Angle."— Presentation transcript:

1 Circles: Arcs, Angles, and Chords

2 Define the following terms Chord Circle Circumference Circumference Formula Central Angle Diameter Inscribed Angle Radius

3 True or False Pi is the ratio of the Circumference to the Radius An inscribed angle has the same measure as the arc it creates A central angle has the same measure as the arc it creates A chord is bisected if a radius intersects it at a right angle

4 Compare and Contrast Explain the difference and similarity between each set of terms. Show a diagram for each pair. Inscribed Angle verses Central Angle Radius verses Diameter Chord verses Radius Arc Measure verse Arc Length

5 Determine the Missing Pieces DiameterRadiusCircumferenc e 10xy x14y xy78.34 19xy x18y xy19.5 xy14.96

6 Use the diagram to answer the questions. Assume that D is the center. If <CDB = 35 determine the mAC. If CD = 7 determine the circumference of the circle. Using the information above determine the length of AB and CB.

7 Label the diagram used to solve chord problems Label the chord, distance from chord to center, the radius, the diameter, and all congruent sections.

8 Chord Length (use a diagram) If a chord is 12inches from the center of the circle and the radius is 15inches long. Determine the length of the chord. How far from the center of a circle is a 20cm chord? The radius is 25cm long.

9 Determine the Circumference The shape inside the circle is a square with length = 6. Determine the circumference and the radius of the circle.

10 Determine arc measure each angle creates. <A = 34 < A = 52

11 AB = 76 AB = 54


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