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

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Presentation transcript:

Circles: Arcs, Angles, and Chords

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

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

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

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

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.

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

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.

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

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

AB = 76 AB = 54