TMSCA Formulas

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Circumference of a Circle

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π*d (d=diameter)

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Area of a Circle

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πr² (r=radius)

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54 Terms

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Circumference of a Circle

π*d (d=diameter)

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Area of a Circle

πr² (r=radius)

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Area of a Square w/ Diagonal

d²/2 (d=diagonal)

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Area of a Parallelogram

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

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Area of a Trapezoid

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

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Area of a Triangle

bh/2

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Area of a Rhombus

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

<p>d₁*d₂/2 (d₁=up and down diagonal) (d₂=left and right diagonal)</p>
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Area of Scalene Triangle (Heron's Formula)

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

<p>√s(s - a)(s - b)(s - c) (abc - sides of triangle, s- semiperimeter)</p>
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Semipermeter

a+b+c/2

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Area of an Equilateral Triangle (w/ Side)

(s²*√3)/4

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Area of an Equilateral Triangle (w/ Height)

(h²√3)/3

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Height of an Equilateral Triangle (given side)

(s√3)/2

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Diagonal of a Square

side√2

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

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

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Inner Diagonal of cube

side√3

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Surface Area of a Cube (w/ edge)

6e² (e=edge)

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Surface Area of a Cube (w/ inner diagonal)

d²*2 (d=inner diagonal)

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Surface Area of a Cube (w/ volume)

6v²/3 (volume)

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Surface Area of Rectangular Prism

2(lw+lh+wh)

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Inner Diagonal of a Rectangular Solid

√L²+w²+h²

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Lateral Surface Area of a Cylinder

2πrh (r=radius and h=height)

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Lateral Surface Area of a Cone

√r²+h²

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Total Surface Area of a Cylinder

2πr(r+h)

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Total Surface Area of a Cone (given slant height

πr(r+s) (s=slant height)

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Surface Area of a Sphere

4πr²

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Surface Area of a Hemisphere

3πr²

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Volume of a Cube (given edge)

e³ (e=edge)

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Volume of a Rectangular Prism

lwh

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Volume of a Cylinder

πr²h

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Volume of a Cone (given radius & height)

πr²h/3 (h= height, r=radius)

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Volume of a Cone (given diameter & height)

1/12*πd²h (h=height, d=diameter)

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Volume of a Sphere

4πr^3/3

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Volume of a Hemisphere

(2/3)πr^3

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Volume of a Pyramid

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

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Total Number of Subsets or Power Set

2^n (number of elements)

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Number of Proper Subsets

2^n-1 (number of elements)

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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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Total of Sequences

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

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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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Work of Two People Combined

n*n/n+n

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Sum of roots in Quadratic

-b/a

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Product of Roots in Quadratics

c/a

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Axis of Symmetry

-b/2a

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Volume of a cube (given Inner diagonal)

(3√d)*3 (d=inner diagonal)

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Midpoint of two points

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

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Midrange

Highest number+Lowest number/2

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Interior Angle of a Regular Polygon

(n-2)180 (number of sides)

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Number of Diagonals in a Polygon

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

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Geometric Mean

√ab (a=one number, b=second number)

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Exterior angle of a regular polygon

360/number of sides

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Number of diagonals from one vertex

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

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Simple Interest

prt

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Triangular Number

n(n+1)/2