Class X Mathematics
Chapter 11: Areas Related to Circles
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Syllabus Sections
Key Formulas & Equations
Click Copy to duplicateArea of Sector
A_{sec} = \frac{\theta}{360} \times \pi r^2
Area of circular sector of angle θ.
Length of Arc
L_{arc} = \frac{\theta}{360} \times 2\pi r
Length of circular sector boundary arc.
Related Formulas from Adjacent Chapters
Radius Tangent perpendicularity
OP \perp PT
[From Circles] Radius OP is perpendicular to tangent PT at contact point P.
Volume Conservation recasting
V_{final} = V_{initial}
[From Surface Areas and Volumes] Total volume remains constant when melting and recasting solids.