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The Arc of a Circle

The Arc of a Circle. Inscribed and Tangent Angles. An Inscribed Angle. An angle with all three points on the edges of a circle. A. ABC is the inscribed angle. The measure of the minor arc created by an inscribed angle is twice as large as the measure of the angle. AC = 2(30°) = 60°. C.

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The Arc of a Circle

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  1. The Arc of a Circle Inscribed and Tangent Angles

  2. An Inscribed Angle An angle with all three points on the edges of a circle. A ABC is the inscribed angle. The measure of the minor arc created by an inscribed angle is twice as large as the measure of the angle. AC = 2(30°) = 60° C 30° B

  3. Example with an Inscribed Angle 80° 170° AB = 110°AC =_____ ABC = 40° CB = _____ A AC is the minor arc: It is twice the measure of the inscribed angle: 2(40) = 80° C The sum of all the arcs is 360° AB + AC + BC = 360 110 + 80 + x = 360 x = 170° B

  4. A line is tangent to a circle if it touches the circle at only one point. One place

  5. Angle made by a chord and tangent line: A The measure of the arc is twice the measure of the angle. P M ABC = 75° B C AMB = 2(75) = 150° APB = 360 – 150 = 210°

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