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The Arcs in a Circle

The Arcs in a Circle. Multiple Angles in One Circle. Inscribed and Central Angles. 50°. DE = ___ EB = _____. 30°. 130°. 150°. DCE = 30° AD =_____ ABD = 25° AB = _____. D. A. E. AD is twice the measure of the inscribed angle: 2(25) = 50°. 30. C.

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The Arcs in a Circle

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  1. The Arcs in a Circle Multiple Angles in One Circle

  2. Inscribed and Central Angles 50° DE = ___ EB = _____ 30° 130° 150° DCE = 30°AD =_____ ABD = 25° AB = _____ D A E AD is twice the measure of the inscribed angle: 2(25) = 50° 30 C The sum of a semi-circle is 180° 180 – 50 = 130° 25 A central angle is the same as the arc it creates: DE = 30° B The sum of a semi-circle is 180° EB = 180 – 30 = 150°

  3. Inscribed and Tangent Angles 120° 150° CDB = _____ A ABF = 45° AC =_____ ABC = 60° AEB = _____ C 90° AC is twice the measure of the inscribed angle: 2(60) = 120° E Arc AEB is twice the measure of the tangent angle. 2(45) = 90° D 60 75 45 G F B Sum of arcs: 120 + 90 = 210 CDB : Subtract sum from 360: 360 – 210 = 150° Note: The other Tangent Angle would be half of 150: Angle CBG = 75°

  4. Circles K and L • Look carefully at each problem. Is the arc created by a central angle? Inscribed? • Show your work. • These are due in class. • If you are missing a quiz/test or did not turn in your notebook, please talk to me about doing that today.

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