Geometry Reference

 

Formulas for Area of Polygons

L = length w = width s = side h = height b = base a = apothem P = perimeter r=radius d=diagonal

* RECRANGLE -L*w
* SQUARE - s*s
* TRIANGLE - 1/2 * (b*h)
* CIRCLE - (pi) * r * r
* PARALLELOGRAM - b * h
* RHOMBUS - 1/2 * (d * d)
* TRAPEZOID - 1/2 * h(b+b)
* ANY OTHER REGULAR POLYGON - 1/2 * P * A

 

 

Formulas for Surface Area of Polyhedrons

B = area of base e = edge P = perimeter of base

* CUBE = B*6
* RECTANGULAR PRISM = Ph + 2B
* RIGHT CYLINDER = 2(pi)rh + 2(pi)r*r
* REGULAR PYPAMID = 1/2 * P L + B
* RIGHT CONE = (pi) * r *L+ (pi) r * r
* SPHERE = 4 * (pi) r * r

 

 

Formulas for Volume of Polyhedrons

* CUBE=e*e*e
* RECTANGULAR PRISM = Bh
* RIGHT CYLINDER = (pi) * r * r* h
* RIGHT CIRCULAR CONE = 1/3 * Bh
* RIGHT PYRAMID = 1/3 Bh
* SPHERE = 4/3 * (pi) * r * r
* CIRCUMFRANCE= 2*(pi)*r

 

 

Formulas for Graphed Lines

SQ = squared SQR = square root

* SLOPE-(Y2-Y1)/(X2-X1)
* DISTANCE - SQR((X 1 - X2)SQ + (Y 1 - Y2)SQ)

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