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Hint

1

Circumference of a Circle

π*d (d=diameter)

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2

Area of a Circle

πr² (r=radius)

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3

Area of a Square w/ Diagonal

d²/2 (d=diagonal)

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4

Area of a Parallelogram

b*h (b=base & h=height)

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5

Area of a Trapezoid

1/2h(b₁+b₂) (b₁ is the bottom edge and b₂ is the top edge)

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6

Area of a Triangle

bh/2

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7

Area of a Rhombus

d₁*d₂/2 (d₁=up and down diagonal) (d₂=left and right diagonal)

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8

Area of Scalene Triangle (Heron's Formula)

√s(s - a)(s - b)(s - c) (abc - sides of triangle, s- semiperimeter)

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9

Semipermeter

a+b+c/2

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10

Area of an Equilateral Triangle (w/ Side)

(s²*√3)/4

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11

Area of an Equilateral Triangle (w/ Height)

(h²√3)/3

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12

Height of an Equilateral Triangle (given side)

(s√3)/2

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13

Diagonal of a Square

side√2

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14

Area of Any Regular Polygon (w/number and length of sides)

ns²/4 tan(180/n) (n=number of sides and s= length of sides)

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15

Area of Any Regular Polygon (w/perimeter and apothem)

pa/2 (p=perimeter and a= apothem)

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16

Inner Diagonal of cube

side√3

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17

Surface Area of a Cube (w/ edge)

6e² (e=edge)

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18

Surface Area of a Cube (w/ inner diagonal)

d²*2 (d=inner diagonal)

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19

Surface Area of a Cube (w/ volume)

6v²/3 (volume)

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20

Surface Area of Rectangular Prism

2(lw+lh+wh)

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21

Inner Diagonal of a Rectangular Solid

√L²+w²+h²

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22

Lateral Surface Area of a Cylinder

2πrh (r=radius and h=height)

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23

Lateral Surface Area of a Cone

√r²+h²

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24

Total Surface Area of a Cylinder

2πr(r+h)

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25

Total Surface Area of a Cone (given slant height

πr(r+s) (s=slant height)

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26

Surface Area of a Sphere

4πr²

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27

Surface Area of a Hemisphere

3πr²

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28

Volume of a Cube (given edge)

e³ (e=edge)

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29

Volume of a Rectangular Prism

l*w*h

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30

Volume of a Cylinder

πr²h

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31

Volume of a Cone (given radius & height)

πr²h/3 (h= height, r=radius)

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32

Volume of a Cone (given diameter & height)

1/12*πd²h (h=height, d=diameter)

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33

Volume of a Sphere

4πr^3/3

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34

Volume of a Hemisphere

(2/3)πr^3

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35

Volume of a Pyramid

bh/3 (b=area of base and h=height)

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36

Total Number of Subsets or Power Set

2^n (number of elements)

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37

Number of Proper Subsets

2^n-1 (number of elements)

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38

Permutations (Ways something can be arranged in an order)

n! ÷ (n-r)! (n=total number of objects and r=number of objects selected)

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39

Total of Sequences

n(n+2)/4 (n=last number)

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40

Combinations (Ways something can be arranged w/o order in mind)

n!/r!(n-r)! (n=total number of objects and r=number of objects selected)

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41

Work of Two People Combined

n*n/n+n

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42

Sum of roots in Quadratic

-b/a

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43

Product of Roots in Quadratics

c/a

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44

Axis of Symmetry

-b/2a

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45

Volume of a cube (given Inner diagonal)

(3√d)*3 (d=inner diagonal)

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46

Midpoint of two points

(x1 + x2)/2, (y1 + y2)/2

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47

Midrange

Highest number+Lowest number/2

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48

Interior Angle of a Regular Polygon

(n-2)180 (number of sides)

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49

Number of Diagonals in a Polygon

((n-3)n)/2 (n=number of vertices or sides)

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50

Geometric Mean

√ab (a=one number, b=second number)

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51

Exterior angle of a regular polygon

360/number of sides

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52

Number of diagonals from one vertex

n-3 (n=number of sides or vertices)

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53

Simple Interest

prt

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54

Triangular Number

n(n+1)/2

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