CBSE · Class 9 · Mathematics · Chapter 5

I’m Up and Down, and Round and Round

Explore geometric ideas involving shapes, movement, orientation, and properties connected with lines, angles, and circular forms.

8 lessons 65 min
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Lessons in this chapter

  1. 1Introduction to CirclesA circle is one curved line with an endless supply of geometry.
  2. 2How Many Circles?Give three non-collinear points a chance and exactly one circle shows up.
  3. 3Chords and the Angles They SubtendChords pull angles into the conversation, while the centre keeps score.
  4. 4Midpoints and Perpendicular Bisectors of ChordsThe shortest path from the centre to a chord lands exactly at its midpoint—show-off.
  5. 5Distance of Chords from the CentreEqual chords stay equally far from the centre because circles appreciate fairness.
  6. 6Angles Subtended by an ArcOne arc can create several angles, but geometry knows how they are related.
  7. 7Concyclicity and Cyclic QuadrilateralsPut four points on one circle and their angles start sharing secrets.
  8. 8Chapter Summary and PracticeRound up your circle facts before the questions come full circle.
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