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Formula Sheet

Angles In A Circle And Cyclic Quadrilateral — Formula Sheet

NIOS · Class 10 · Maths

8 formulas from Angles In A Circle And Cyclic Quadrilateral (NIOS Class 10 Maths) on one page, grouped by topic. Part of the NIOS Class 10 Maths syllabus.

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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8 Entries · 3 Sections

Formulas and Key Relations

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°

Key relations

In symbols, 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 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 many formulas are in Angles In A Circle And Cyclic Quadrilateral?
This sheet lists 8 formulas from Angles In A Circle And Cyclic Quadrilateral, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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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All NIOS Class 10 Maths Formula Sheet

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