## MENSURATION FORMULAS

This page mensuration formulas is containing lots of math formulas of math in the topic mensuration.

Circle:

 Area of circle = Π r ²Circumference of circle = 2 Π rExample problems of area of circleExample problems of circumference of circle

Semi circle

 Area of Semi circle= (1/2) Π r²Perimeter of semi-circle = ΠrExample problems on semi circle

Equilateral triangle

 Area of Equilateral-triangle = (√3/4) a²Perimeter of Equilateral-triangle = 3aExample problems on equilateral triangle

Scalene Triangle

 Area of scalene triangle = √s(s-a)(s-b)(s-c)Perimeter of scalene triangle = a + b +  cExample problems on scalene triangle

Square

 Area of square = a²Perimeter of square = 4aExamples problems on area of squareExamples problems on perimeter of square

Rectangle

 Area of rectangle = L x WPerimeter of rectangle=2(l+w)Examples problems on area of rectangleExamples of perimeter of rectangle

 Area of quadrilateral=(1/2) x d x (h₁+h₂)Example problems of area of quadrilateral

parallelogram

 Area of parallelogram = b x hExample problems of area of parallelogram

Rhombus

 Area of rhombus =(1/2) x (d₁ x d₂)Examples problems on perimeter of rhombus

Trapezoid

 Area of trapezoid =(1/2) (a + b) x hExamples problems on area of trapezoid

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 2ΠrExamples problems on area of sectorExamples problems on length of arcWorksheet for length of arcPerimeter of sector worksheetsArea of sector worksheet

Cylinder

 Curved surface area = 2 Π r hTotal surface area = 2 Π r (h + r)Volume = Π r² hr-radius , h - heightExamples problems of cylinder

Hollow cylinder:

 Curved surface area= 2Π h (R+r)Total surface area =  2 Π (R + r) (R - r + h)Volume = Π h (R² - r²)Curved surface area practice Worksheets1Curved surface area practice Worksheets2

Cone

 Curved Surface area = Π r LTotal surface area = Π r (L + r)Volume = (1/3) Π r²hL² = r² + h²Examples of cone

Sphere

 Curved Surface area = 4 Π r²Volume = (4/3) Π r³Curved Surface area of hemisphere = 2 Π r²Total Surface area of hemisphere = 3Πr²Volume = (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