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Mensuration Formulae
= 3.1416
= 9.8696
= 0.3183
= 1.7725
 
Circle
area = x radius squared
circumference = x diameter
area of the segment = area of sector - area of triangle
area of the sector = length of arc x ½ radius
length of arc = degrees in arc x radius x 0.01745
 
Triangle
area = ½ base x perpendicular height
 
Suare, Rhombus, Rhomboid
area = base x height
 
Ellipse
area = long axis x short axis x 0.7854
 
Trapezium
area = height x (½ the sum of two parallel sides)
 
Cone
surface = ½ (slant height x perimeter of base) + area of base
volume = (area of base x perpendicular height) ÷ 3
 
Cylinder
surface = (length x perimeter) + (area of
two ends)
volume = area of base x height
 
Sphere
surface = square of the diameter x π
volume = cube of diameter x 0.5236
 
Pyramid
surface = ½ (slant height x base perimeter)+ area of base
volume = (area of base x perpendicular height) ÷ 3
 
Prism
surface = (length x perimeter) + (area of
two ends)
volume = area of base x height

 

 
Conversion Factors

Length
Inches x 25.4 = millimetres
feet x 0.3048 = metre
yards x 0.9144 = metre
miles x 1.6093 = kilometres
millimetres x 0.03937 = inches
metres x 39.37 = inches
metres x 3.2808 = feet
metres x 1.09936 = miles
 
Area
square Inches x 6.4516 = square millimetres
square feet x 0.0929 = square metres
square yards x 0.8361 = square metres
square centimetres x 0.1550 = square inches
square metres x 10.7639 = square feet
square metres x 1.1960 = square yards
 
Volume
cubic Inches x 16.3871 = cubic millimetres
cubic feet x 0.0283 = cubic metres
cubic centimetres x 0.0610 = cubic inches
cubic metres x 35.3147 = cubic feet
inches 3
x 41.623 =
centimetres 3
centimetres x 0.024025 =
inches 3
 
Weight
grains x 0.0648 = grams
pounds x 0.45359 = kilograms
tons x 1.016 = metric tons
grams x 15.432 = grains
kilograms x 2.2046 = pounds
metric tons x 0.9842 = tons
 
Pressure
pounds per sq. foot x 4.882 = kg per sq. metre
kg per sq. metre x 0.2048 = pounds per sq. foot
 
The above factors are approximate
 
Grade Conversion
303 S31 = EN 1.4305
304 S15 = EN 1.4301
304 S11 = EN 1.4307
306 S31 = EN 1.4401
306 S11 = EN 1.4404