Mensuration >> Sector

Area of a sector with length of the arc. - Sector - Mensuration problem solver

Find the area of a sector of radius 12 m whose length of the arc is 25 m.


Radius = 12
Length of the arc = 25
Length of the arc of sector (D/360) * 2 * Pi * r = 25 units
Angle of the sector of the Arc (D) = (360 * l)/(2 * Pi * r)
Angle of the sector of the Arc (D) = (360 * 25)/(2 * (22/7) * 12)
Sector angle = 119.31818181818
Area of the Arc = (D/360)*(Pi*r^2) sq.units
Area of the Arc = (119.3182/360) * ((22/7) * 12 * 12) sq.units
Area = 150.00002285714
Area of the Arc (D/360)*(Pi*r^2) = 150 sq.units

Sector :

The plane figure enclosed by two radii of a circle or ellipse and the arc between them.

Sector Formulas :


where,

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