Classes IX & X Mathematics

Chapter 9: Circles

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

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Key Formulas & Equations

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Double Angle Theorem

sin θcos θθ
\theta_{center} = 2 \theta_{boundary}

Angle subtended by arc at center is twice angle at circumference.

Cyclic Quadrilateral interior sum

A + C = 180^\circ \land B + D = 180^\circ

Opposite angles of cyclic quadrilaterals are supplementary.

Related Formulas from Adjacent Chapters

Heron's Formula

A = \sqrt{s(s-a)(s-b)(s-c)}

[From Heron's Formula] Calculates triangle area using semi-perimeter s and sides a, b, c.