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Angles in a circle

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Intros
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Lessons
  1. Terms related to circles
    • Radius
    • Diameter
    • Circumference
    • Central angle
      • minor arc
      • major arc
    • Inscribed angle
    • Chord
      • perpendicular bisector
    • Tangent
      • point of tangency
  2. What are Inscribed angles and Central angles?
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Examples
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Lessons
  1. In the following diagram, the radius is 24 cm and ∠\angleBDC is 75°.
    Using angles in a circle to find angles and chord lengths
    1. Find ∠\angleBAC.
    2. Find the chord BC.
  2. You are setting up a display board for the science fair. You have two spotlights: one projects through an angle of 20°; and one projects through an angle of 40°. Where is the best place to put the display board? Show your answer in a diagram.
  3. Given ∠\angleBAE = 44.5° and ∠\angleADC = 64.27°.
    use angles in a circle to find other angles
    Find.
    1. ∠\angleBCD
    2. ∠\angleAEB
    3. ∠\angleCED