Math, asked by memateen264, 5 months ago

write the formula to find the area of the sector of a circle of radius 'r' cm

Answers

Answered by itzemotionalgirl
2

Answer:

please refer to the given attachment....

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I hope this helps you......

Attachments:
Answered by ᏞovingHeart
43

\implies 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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