Math, asked by veerendrasree245, 6 months ago

all formulas in areas related to circles class 10​

Answers

Answered by krishnakamna1212
45

Step-by-step explanation:

AREA OF CIRCLE =

\pi {r}^{2}

CIRCUMFERENCE OF CIRCLE =

2\pi \: r

AREA OF SECTOR

\pi {r}^{2} \frac{theta}{360}

ARC LENGTH

2\pi \: r \:  \frac{theta}{360}

AREA OF SEGMENT

area \: of \: circle - area \: of \: triangle

ONE IMPORTANT RELATION BETWEEN ARC LENTH ,ANGLE SUBTENTED AND RADIUS

l = (r)theta

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Answered by PravinRatta
42

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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