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Circles Lesson 2 April 28 09
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Circles Lesson 2 April 28 09

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  • 1. Minor Arc the smaller arc . C . A . O . Major Arc B the larger arc
  • 2. . C Central Angle:  . an angle that has it's vertex at the centre, two radii form A the arms of the angle.  . O Central angle AOC is  subtended by the chord AC . and by the arc AC.  B
  • 3. . C Inscribed angle: . an angle that has it's vertex on  the circle, and two chords A form the arms. . O Inscribed angle ABC is  . subtended by the chord AC, and by the arc AC.  B
  • 4. Angles in a Circle Theorem ­ The angle inscribed in a semicircle is a right angle ­ The measure of the central angle is equal to twice    the measure of the inscribed angle subtended by     the same arc. ­ Inscribed angles subtended by the same arc, or    by equal arcs, are congruent. 
  • 5. Find the measure of angles  a, and angle b. a . O o b 50
  • 6. Find the measures of angles  x, y, and z. o 40 y o 55 x z o 25
  • 7. Exercise 31 Questions 1 ­ 7

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