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ShapesEdit

CirclesEdit

 Area = \pi r^2

 Circumference = 2πr

 r = 2/d or  d = 2r
where r = radius, d = diameter, and π = \pi (3.14..).

SquaresEdit

 Area = l^2

 Area = \frac{d^2}{2}

Where l is the length of a side, and d is the diagonal.

RhombusEdit

 Area = \frac{1}{2} \cdot d1d2

Where d are the diagonals of the rhombus.

RectanglesEdit

 Area = lw

 Perimeter = 2(l + w)

Where l is the length of a side, and w is the width of a side.

TrianglesEdit

Note* All angles of a triangle always add to 180, meaning solving for an angle can be done by:  a + b + c - 180 where a,b, and c are angles of the triangle.

Trigonometric RatiosEdit

 sin(°) = \frac{opp}{hyp}

 cos(°) = \frac{adj}{hyp}

 tan(°) = \frac{opp}{adj}

Area / OtherEdit

 Area = \frac{1}{2}bh Where b is the base, and h is the height of the triangle.

The following formulas are only true for right angle triangles:

 A^2 + B^2 = C^2 Where each letter indicates a different side length

The following formula is only true for a equilateral triangle:

 Area = \frac{s^2}{\sqrt 3\cdot4}


 a + b < c

Sin LawEdit

For any you may use sin law, or cos law.

 \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}

or

 \frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}

Cos LawEdit

 a^2 = b^2 + c^2 - 2bccost(A)

or

 cos(A) = \frac{b^2 + c^2 - a^2}{2bc}

OtherEdit

Quadratic FormulaEdit

 ax^2 + bx + c = 0

If this is not true, you may follow the formula: x = -b ±\sqrt \frac{b^2 - 4ac}{2a}

CombinationsEdit

a Combination is used when the 'order' of a

Combinations are defined by nCr
 nCr = \frac{n!}{r!(n-r)!}

PermutationsEdit

A Permutation is an arrangement of a set. Used when the order of the set matters.

Permutations are defined by nPr.

Formula:  nPr = \frac{n!}{(n-r)!}

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