Lesson 12 · The Relation between Opposite Angles of a Cyclic Quadrilateral

Relation between the Central Angle and Inscribed Angle

MathematicsSubject
8 minEstimated read
Activity 4

Using paper

Method
  • Draw a circle on chart paper with a central angle \( \angle AOB \) and an inscribed angle \( \angle ACB \) on the same arc AB.
  • Cut out the central angle with scissors.
  • Fold the central angle to make two equal parts.
  • Place one part on the inscribed angle, compare them and write the conclusion.
Discussion
  • How does half of the central angle compare with the inscribed angle?
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