CBSE 9 Mathematics | 9. Circles by Akhil | Learn Smarter with Allrounder.ai
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9. Circles

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Sections

  • 9

    Circles

    This section explores the properties and theorems associated with circles, focusing on angles subtended by chords and the relationship between chord lengths and distances from the center.

    Learning Practice

  • 9.1

    Angle Subtended By A Chord At A Point

    This section explores the angles subtended by chords at different points within a circle, emphasizing the relationship between chord lengths and the angles they subtend.

    Learning Practice

  • 9.2

    Perpendicular From The Centre To A Chord

    The section discusses the properties of the perpendicular drawn from the center of a circle to a chord, including its ability to bisect the chord and its relation to the concept of distance from the center.

    Learning Practice

  • 9.3

    Equal Chords And Their Distances From The Centre

    This section explores the relationship between equal chords in a circle and their distances from the center, detailing several key theorems and proofs.

    Learning Practice

  • 9.4

    Angle Subtended By An Arc Of A Circle

    This section explains the relationship between chords and arcs in a circle, focusing on the angles they subtend at the center.

    Learning Practice

  • 9.5

    Cyclic Quadrilaterals

    Cyclic quadrilaterals have all four vertices on a circle, leading to specific properties regarding their angles.

    Learning Practice

  • 9.6

    Summary

    This section summarizes important concepts related to circles, including relationships involving chords, angles, and congruency.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

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