Skip to main content
Super TutorResources
Chapter 16 of 26
Study Plan

Angles In A Circle And Cyclic Quadrilateral — Study Plan

NIOS · Class 10 · Maths

A step-by-step study plan for Angles In A Circle And Cyclic Quadrilateral, NIOS Class 10 Maths: what to learn first, what to practise and when to revise.

41 questions28 flashcards8 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Angles In A Circle And Cyclic Quadrilateral? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for study plan and more.

Try Super Tutor — Free

Free trial, no card needed.

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.
Super Tutor

One of 8 illustrations for Angles In A Circle And Cyclic Quadrilateral in Super Tutor — alongside flashcards, concept maps and practice questions.

Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Angles in a Circle, 2. Concyclic Points and Cyclic Quadrilateral.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 41 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Angles In A Circle And Cyclic Quadrilateral after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • Central angle is formed at the centre by radii to the endpoints of an arc or chord.
  • The degree measure of a minor arc equals the measure of its corresponding central angle.
  • The degree measure of a semicircle is 180°.
  • Inscribed angle is formed on the remaining part of the circle by an arc or chord.
  • Central angle is always twice the inscribed angle standing on the same arc.
  • Angle in a semicircle is a right angle.
  • Angles subtended by the same chord in the same segment are equal.
  • The theorem is applied only when the angles lie in the same segment.
  • The converse gives a way to prove four points are concyclic.

Common Mistakes to Avoid

The angle at the centre of a circle and the angle on the circle subtended by the same arc are equal.

Any angle in a semicircle is 180° because a semicircle itself is 180°.

A major arc has the same degree measure as the central angle of the smaller arc.

Memory Tips

Central angle

Inscribed angle

Central angle is double the inscribed angle

Angle in a semicircle

Want a personalised study plan?

Super Tutor builds a day-by-day plan for NIOS Class 10 Maths that fits your exam date and pace.

Create My Study Plan

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.

More resources for Angles In A Circle And Cyclic Quadrilateral

All NIOS Class 10 Maths Study Plan

For serious students

Get the full Angles In A Circle And Cyclic Quadrilateral chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for NIOS Class 10 Maths. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free