all formulas in areas related to circles class 10
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Step-by-step explanation:
AREA OF CIRCLE =
CIRCUMFERENCE OF CIRCLE =
AREA OF SECTOR
ARC LENGTH
AREA OF SEGMENT
ONE IMPORTANT RELATION BETWEEN ARC LENTH ,ANGLE SUBTENTED AND RADIUS
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Circle formulae:
- Circumference of a circle = πd or 2πr, where d is diameter and r is a radius of the circle
- Perimeter of a semicircle = πr + 2r
- Area of a circle = πr²
- Area of a semicircle = 1/2 πr²
- Area of quadrant = 1/4 πr²
- Length of the arc= 2πrθ/360° = πrθ/180°
- Area of sector OACBO = πr²θ/360
- Area of the minor segment = πr²θ/360−1/2r²sinθ
- Area of the major segment = πr2 – Area of the minor segment
- If a chord subtends a right angle at the centre, then Area of the corresponding segment = (π/4−1/2)r²
- If a chord subtends an angle of 60° at the centre, then Area of the corresponding segment = (π/3−√3/2)r²
- If a chord subtends an angle of 120° at the centre, then Area of the corresponding segment = (π/3−√3/4)r²
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