write the formula to find the area of the sector of a circle of radius 'r' cm
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The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
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Area of a sector
In a circle with radius r and centre at O, let ∠POQ = θ (in degrees) be the angle of the sector. Then, the area of a sector of circle formula is calculated using the unitary method.
For the given angle the area of a sector is represented by:
The angle of the sector is 360°, area of the sector, i.e. the Whole circle = πr²
When the Angle is 1°, area of sector = πr²/360°
So, when the angle is θ, area of sector, OPAQ, is defined as;
A = (θ/360°) × πr²
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