Circles and Angles — Formula Sheet
Kerala Board · Class 10 · Mathematics
5 formulas from Circles and Angles (Kerala Board Class 10 Mathematics) on one page, grouped by topic. Includes Key property.
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Formulas and Key Relations
Parts of a Circle and Central Angles
To mark 1/n of a circle, the central angle = 360°/n
Fundamental Angle-Arc Relationship
Angle at circumference = (1/2) × Central angle of the same arc
This relationship holds for all arcs with central angle ≤ 180°
Angle in a Semicircle
Central angle of semicircle = 180°, so circumference angle = 180°/2 = 90°
Key relations
Key property
opposite angles are supplementary (∠A + ∠C = 180°, ∠B + ∠D = 180°).
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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