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Warm Up

Warm Up. Solve for x. Homework Check. 72 2. 12 3. 10 4. 24 5. 8 6. 10.39 7. 8 8. 105. 116 9. 90 10. 4 11. 9,18,9 12. 110 13. 6. Today’s Objectives. Students will be able to find the measure of an inscribed angle.

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Warm Up

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  1. Warm Up • Solve for x

  2. Homework Check • 72 2. 12 3. 10 4. 24 5. 8 6. 10.39 7. 8 8. 105. 116 9. 90 10. 4 11. 9,18,9 12. 110 13. 6

  3. Today’s Objectives • Students will be able to find the measure of an inscribed angle. • Students will be able to find the measure of an angle formed by a tangent and a chord.

  4. 11-3 Inscribed Angles • A Central Angle is an angle with vertex at the center of the circle. Central Angle B K C R

  5. Major and Minor Arcs • Minor Arc – Short Distance around Circle • Major Arc – Long Distance around Circle B Minor Arc, BC Major Arc, BRC K C R

  6. Arc Measures • The measure of minor arc = measure of central angle • The measure of major arc = 360 – minor arc mBC = 100* mBRC = 360-100 = 260* B 100° 100° 100° K C R

  7. Inscribed Angles • An Inscribed Angle is an angle with vertex ON the circle • The Measure of an inscribed angle = ½ its arc Inscribed Angle

  8. Example – Find the value of each variable

  9. Example – Find the value of each variable

  10. Example – Find the value of each variable

  11. Example – Find the value of each variable

  12. Example – Find the value of each variable

  13. Example – Find the value of each variable

  14. Example – Find the value of each variable

  15. Homework • Hand out

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