Mensuration Formulas

Mensuration        formulae

                                  அளவையியல்      சூத்திரங்கள்

Area of circle	Area of circle = Π r ² Circumference of circle = 2 Π r
Area of triangle	Area of Equilateral-triangle = (√3/4) a² Perimeter of Equilateral-triangle = 3a
Area of scalene triangle	Area of scalene triangle = √s(s-a)(s-b)(s-c) Perimeter of scalene triangle  = a + b +  c
Area of semicircle	Area of Semi circle= (1/2) Π r² Perimeter of semi-circle = Πr
Area of quadrant	Area of quadrant = (1/4) Π r²
Area of rectangle	Area of rectangle = L x W Perimeter of rectangle=2(l+w)
Area of square	Area of square = a² Perimeter of square = 4a
Area of parallelogram	Area of parallelogram = b x h
Area of quadrilateral	Area of quadrilateral=(1/2) x d x (h₁+h₂)
Area of rhombus	Area of rhombus =(1/2) x (d₁ x d₂)
Area of trapezoid	Area of trapezoid =(1/2) (a + b) x h
Area of sector	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

Cylinder	Curved surface area = 2 Π r h Total Curved surface area = 2 Π r (h+r) Volume = Π r²h
Cone	Curved surface area = Π r l Total Curved surface area = Π r (L+r) Volume = (1/3)Π r²h L² = r² + h²
Sphere	Curved surface area = 4Π r² Volume = (4/3)Π r³
Hemisphere	Curved surface area = 2Π r² Total Curved surface area=3Π r² Volume = (2/3)Π r³
Cuboid	Curved surface area=4h(l+b) Total surface area = 2(lb+bh+h l) Volume = l x b x h
Cube	Curved surface area=4a² Total surface area = 6a² Volume = a³