This page mensuration formulas is containing lots of math formulas of math in the topic mensuration.
Circle:
Area of circle = Π r ² Circumference of circle = 2 Π r |
Semi circle
Area of Semi circle= (1/2) Π r² Perimeter of semi-circle = Πr |
Quadrant
Area of quadrant = (1/4) Π r² |
Equilateral triangle
Area of Equilateral-triangle = (√3/4) a² Perimeter of Equilateral-triangle = 3a |
Scalene Triangle
Area of scalene triangle = √s(s-a)(s-b)(s-c) Perimeter of scalene triangle = a + b + c |
Square
Area of square = a² Perimeter of square = 4a |
Rectangle
Area of rectangle = L x W Perimeter of rectangle=2(l+w) |
Quadrilateral
Area of quadrilateral =(1/2) x d x (h₁+h₂) |
parallelogram
Area of parallelogram = b x h |
Rhombus
Area of rhombus =(1/2) x (d₁ x d₂) |
Trapezoid
Area of trapezoid =(1/2) (a + b) x h |
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 Examples problems on area of sector Examples problems on length of arc Perimeter of sector worksheets Area of sector worksheet |
Cylinder
Curved surface area = 2 Π r h Total surface area = 2 Π r (h + r) Volume = Π r² h r-radius , h - height |
Hollow cylinder:
Curved surface area= 2Π h (R+r) Total surface area = 2 Π (R + r) (R - r + h) Volume = Π h (R² - r²) |
Cone
Curved Surface area = Π r L Total surface area = Π r (L + r) Volume = (1/3) Π r²h L² = r² + h² Examples of cone |
Sphere
Curved Surface area = 4 Π r² Volume = (4/3) Π r³ Curved Surface area of hemisphere = 2 Π r² Total Surface area of hemisphere = 3Πr² Volume = (2/3) Π r³ |
Hollow hemisphere:
Curved Surface area = 2 Π (R² + r²) Total Surface area = Π (3 R² + r²) Volume = (2/3) Π (R³ - r³) |
Frustum Cone
Volume of frustum cone = (1/3) Π h (R²+r² + R r) mensuration formulas mensuration formulas |
mensuration formulas mensuration formulas