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Chapter 12 of 16
Revision Notes

Circle — Revision Notes

Maharashtra Board · Class 9 · Mathematics

Circle revision notes for Maharashtra Board Class 9 Mathematics: 4 topics in quick points. Part of the Maharashtra Board Class 9 Mathematics syllabus.

44 questions22 flashcards5 concepts

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Key Topics to Revise

1

Basic Concepts of Circle

  • A circle is the set of all points in a plane that are equidistant from a fixed point called the center
  • The fixed distance from center to any point on the circle is called radius
  • A chord is a line segment joining any two points on the circle
2

Properties of Chords

  • The perpendicular from the center of a circle to a chord bisects the chord
  • Congruent chords of a circle are equidistant from the center
  • Chords equidistant from the center are congruent
3

Incircle of a Triangle

  • The incircle touches all three sides of the triangle from inside
  • The center of the incircle is called the incenter
  • The incenter is the point of concurrency of angle bisectors
4

Circumcircle of a Triangle

  • The circumcircle passes through all three vertices of the triangle
  • The center of the circumcircle is called the circumcenter
  • The circumcenter is the point of concurrency of perpendicular bisectors of sides

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Full Notes

Key Concepts

A circle is the setThe line segment joining the centerTwo important theoremsThe incircle is a circleThe circumcircle passes through all three

Frequently Asked Questions

What are the important topics in Circle for Maharashtra Board Class 9 Mathematics?
Key topics in Circle include Basic Concepts of Circle, Properties of Chords, Incircle of a Triangle, Circumcircle of a Triangle. Study these first, then practise questions on each for Class 9 exams.
How should I revise Circle for Class 9 exams?
Learn the core ideas first, then work through the 44 practice questions on Circle. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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