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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.

41 questions28 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

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.

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Full Notes

Key Concepts

The angle made at the centreThe angle subtended by an arcThe angle subtended at the centreA semicircle has degree measure 180°Angles subtended by the same chord

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 Circle Angles Concept Map, Angles in Circle - Complete Overview, Circle Angles and Cyclic Quadrilaterals Concept Map. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Angles In A Circle And Cyclic Quadrilateral — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 41 practice questions available for this chapter. Revise formulas and 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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