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Syllabus

Angles In A Circle And Cyclic Quadrilateral — Syllabus

NIOS · Class 10 · Maths

What Angles In A Circle And Cyclic Quadrilateral covers in NIOS Class 10 Maths: 2 topics, for the 2026-27 session.

41 questions28 flashcards8 formulas & key relations5 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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2 Topics · NIOS Class 10 Maths · 2026-27

Topics in Angles In A Circle And Cyclic Quadrilateral

1

1. Angles in a Circle

  • The angle made at the centre of a circle by the radii at the end points of an arc or chord is called the central angle.
  • The angle subtended by an arc or chord on any point on the remaining part of the circle is called the inscribed angle.
  • The degree measure of a minor arc of a circle is the measure of its corresponding central angle.
2

2. Concyclic Points and Cyclic Quadrilateral

  • Points which lie on the same circle are called concyclic points.
  • Three non-collinear points are always concyclic.
  • Three collinear points are not concyclic.

Key Concepts

Central concept: Circle angles and cyclic quadrilaterals

Central angleInscribed angleConcyclic pointsCyclic quadrilateralArc degree measure

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Frequently Asked Questions

What are the important topics in Angles In A Circle And Cyclic Quadrilateral for NIOS Class 10 Maths?
Key topics in Angles In A Circle And Cyclic Quadrilateral include Angles in a Circle, Concyclic Points and Cyclic Quadrilateral. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Angles In A Circle And Cyclic Quadrilateral for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 41 practice questions on Angles In A Circle And Cyclic Quadrilateral. 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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