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Revision Notes

Angles In A Circle And Cyclic Quadrilateral

NIOS · Class 10 · Maths

Quick revision notes for Angles In A Circle And Cyclic Quadrilateral — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.

44 questions20 flashcards5 concepts

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A diagram illustrating the definitions of central angle and inscribed angle, showing an arc, the center of the circle, and a point on the remaining part of the circle.
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Key Topics to Revise

1

Central and Inscribed Angles

  • Central angle is formed by two radii at the endpoints of an arc
  • Inscribed angle is formed by two chords meeting at a point on the circle
  • Central angle = 2 × Inscribed angle (fundamental relationship)
2

Angles in Same Segment and Semicircle

  • Angles in the same segment of a circle are equal
  • Angle in a semicircle is always 90° (right angle)
  • Converse: If angle subtended by a chord is 90°, the arc is a semicircle
3

Concyclic Points and Cyclic Quadrilaterals

  • Four points are concyclic if they lie on the same circle
  • Three non-collinear points always determine a unique circle
  • Cyclic quadrilateral has all vertices on a circle

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Full Notes

Key Concepts

The angle formed at the centerAn angle formed by two chordsFor any arc in a circleAny angle inscribed in a semicircleAll inscribed angles that subtend

Frequently Asked Questions

What are the important topics in Angles In A Circle And Cyclic Quadrilateral for NIOS Class 10 Maths?
Angles In A Circle And Cyclic Quadrilateral covers several key topics that are frequently asked in NIOS Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Angles In A Circle And Cyclic Quadrilateral — NIOS Class 10 Maths?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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