Mensuration formulae
அளவையியல் சூத்திரங்கள்
Area of circle
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Area of circle = Π r ²
Circumference of circle
= 2 Π r
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Area of triangle
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Area of
Equilateral-triangle = (√3/4) a²
Perimeter of
Equilateral-triangle = 3a
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Area of scalene triangle
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Area of scalene triangle
= √s(s-a)(s-b)(s-c)
Perimeter of scalene
triangle = a + b + c
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Area of semicircle
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Area of Semi circle=
(1/2) Π r²
Perimeter of semi-circle
= Πr
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Area of quadrant
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Area of quadrant = (1/4) Π r²
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Area of rectangle
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Area of rectangle = L x
W
Perimeter of
rectangle=2(l+w)
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Area of square
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Area of square = a²
Perimeter of square = 4a
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Area of parallelogram
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Area of parallelogram =
b x h
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Area of quadrilateral
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Area of
quadrilateral=(1/2) x d x (h₁+h₂)
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Area of rhombus
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Area of rhombus =(1/2) x
(d₁ x d₂)
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Area of trapezoid
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Area of trapezoid =(1/2)
(a + b) x h
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Area of sector
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Area of the sector =
(θ/360) x Π r ² square units
(or) Area of the
sector = (1/2) x l r square units
Length of arc = (θ/360)
x 2Πr
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Cylinder
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Curved surface area = 2
Π r h
Total Curved surface
area = 2 Π r (h+r)
Volume = Π r²h
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Cone
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Curved surface area = Π
r l
Total Curved surface
area = Π r (L+r)
Volume = (1/3)Π r²h
L² = r² + h²
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Sphere
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Curved surface area = 4Π
r²
Volume = (4/3)Π r³
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Hemisphere
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Curved surface area = 2Π
r²
Total Curved surface
area=3Π r²
Volume = (2/3)Π r³
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Cuboid
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Curved surface
area=4h(l+b)
Total surface area =
2(lb+bh+h l)
Volume = l x b x h
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Cube
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Curved surface area=4a²
Total surface area = 6a²
Volume = a³
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