Plane Figures

Circular Segment

Portion of a circle bounded by a chord and the arc subtended by the chord.

Formula

The area of a circular segment is given by the relationship : A = r[latex]^{2}[/latex][[latex]\frac{α}{2}[/latex] – [latex]\frac{1}{2}\small\sin(α)[/latex]], where α is the measure in radians of the angle at the centre.

Example

The shaded portion of the figure is a circular segment :

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