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Revision: Angle and Its Measurement Maths HSC Science (General) 11th Standard Maharashtra State Board

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Definitions [1]

Definition: Sector of a Circle

Sector of a circle
Region enclosed by two radii and the corresponding arc.

Minor sector
Sector with angle < 180°.

Major sector
Sector with angle > 180°.
Angle of major sector = 360° − angle of minor sector.

Formulae [2]

Formula: Area of a Sector

\[\text{Area of sector}=\frac{\theta}{360}\times\pi r^2\]

Formula: Length of an Arc

\[\text{Length of arc}=\frac{\theta}{360}\times2\pi r\]

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