Useful Formulas Where: A = Area; A 1 = Surface area of solids; V = Volume; C = Circumference Circle A = 3.142 X R X R C = 3.142 X D D R= 2 D = 2 X R Ellipse A = 3.142 X A X B √ A 2 + B 2 C = 6.283 X 2 Parallelogram A = H X L Rectangle A = W X L Sector of circle 3.142 X R X R X a A= 360 L = .01745 X R X a L a = .01745 X R L R= .01745 X a Trapezoid L 1 + L 2 A = H X 2 Triangle W X H A= 2
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Useful FormulasWhere:A = Area; A1 = Surface area of solids;V = Volume; C = Circumference
CircleA = 3.142 X R X RC = 3.142 X D
DR =
2D = 2 X R
EllipseA = 3.142 X A X B
√A2 + B2C = 6.283 X
2
ParallelogramA = H X L
RectangleA = W X L
Sector of circle3.142 X R X R X a
A =360
L = .01745 X R X aL
a =.01745 X R
LR =
.01745 X a
TrapezoidL1 + L2A = H X
2
TriangleW X H
A =2
ConeA1= 3.142 X R X S + 3.142 X R X RV = 1.047 X R X R X H
CylinderA1= (6.283 X R X R) + (6.283 X R X H)V = 3.142 X R X R X H
Elliptical TanksV = 3.142 X A X B X H
√A2 + B2A1= 6.283 X X H + 6.283 X A X B
2
Rectangular solidA1= 2[W X L + L X H + H X W]V = W X L X H
SphereA1= 12.56 X R X RV = 4.188 X R X R X R
For above containers:
Capacity in gallons = when V is in cubic inches.
Capacity in gallons = 7.48 X V when V is in cubic feet.