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Formula Sheet

Angles In A Circle And Cyclic Quadrilateral

NIOS · Class 10 · Maths

All formulas from Angles In A Circle And Cyclic Quadrilateral in NIOS Class 10 Maths. Key equations, constants, and identities for board exam preparation.

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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7 Formulas · 2 Sections

Formulas

2) Arc Measure and Arc Length

The degree measure of a minor arc of a circle is the measure of its corresponding central angle.

The degree measure of a semicircle is 180°.

Degree measure of a major arc = 360° - degree measure of the corresponding minor arc

Length of an arc = circumference × (degree measure of the arc)/(360°)

Example arc length calculation: length of arc PQR = 2πr × 40°/360° = (2/9)πr

3) Central Angle and Inscribed Angle

∠POQ = 2∠PBQ

2∠PBQ = ∠POQ = 180° ⇒ ∠PBQ = 90°

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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 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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