All Math Formulas Flashcards
Areas of 2D shapes
Area of a Rectangle
A = L x W
Area of Square
A = L x W
OR
A = Side x Side
Area of a Triangle
A = (L x H) /2 OR (B x H) /2
Area of a Parallelogram
A = L x H
Area of a Trapezoid
A = 1/2 (B1 + B2) x H
Area of a Circle
A = Pi (3.1416) x Radius to the 2nd power
Area of an Ellipse
A = Pi(3.1416) x A x B
Area of a Wing (Aircraft)
A = Span x Chord
Circumference of 2D shapes
Circumference of a Circle & Cylinder
C = Diameter x Pi (3.1416)
Circumference of an Ellipse
C = 2 x Pi(3.1416) x the square root of A2 + B2 divided by 2
Volume of 3D shapes
Volume of a Rectangular Solid
V = L x W x H
Volume of a Cube
V = Side x Side x Side
Volume of a Cylinder
V = Pi(3.1416) x Radius to the 2nd power x H
Volume of a Sphere
V = 4/3 x Pi(3.1416) x Radius to the 3rd power (if given the radius)
V = 1/6 x Pi(3.1416) x Diameter to the 3rd power (if goven the diameter)
Volume of a Cone
V = 1/3 x Pi(3.1416) x Radius to the 2nd power x H
Surface Area of 3D Shapes
Surface Area of a Cube
S = 6 x S to the 2nd power
Piston Displacement
PD = Pi(3.1416) x (Diameter Bore /2) to the 2nd power x Stroke x # of cylinders
______________
| |
| |<— The stroke
| |
| |
|—————— |
| |<–Piston
| |
| ~~~~~~~~~~|<–DB
———————
| |
The volume of a Cylinder if given the culinder bore or diameter:
V = Pi(3.1416) x Diameter divided by 2 squared x H
Compression Ratio:
CR = Vbottom over Vtop
*but if asking for CR and not given a V Top then you use:
Vtop = Vbottom - Displacement
Gear Ratio w teeth:
Teeth Pinion Gear = Speed Spur Gear
————————– ————————-
Teeth Spur Geat Speed Pinion Gear
