Wisconsin Mathematics Formula Reference Sheet
Shape
Formulas for Area (A) and Circumference (C )
1
1
Triangle
A 2 bh 2 base height
Rectangle
A lw length width
Trapezoid
A 2 (b1 + b2)h 2 sum of bases height
Parallelogram
A bh base height
1
1
SA πr2 π square of radius
Circle
C 2πr 2 π radius
Figure
Rectangular Prism
Formulas for Volume (V ) and Surface Area (SA)
SV lwh length width height
SA 2lw 2hw 2lh
2(length width) 2(height width) 2(length height)
General
Prisms
Right Circular
Cylinder
Right Pyramid
SV Bh area of base height
SA sum of the areas of the faces
SV Bh area of base height
SA 2B Ch (2 area of base) (circumference height)
1
1
SV 3Bh 3 area of base height
1
SA B 2 Pl
1
area of base (2 perimeter of base slant height)
Right Circular
Cone
1
1
SV 3Bh 3 area of base height
1
1
SA B 2 Cl area of base (2 circumference slant height)
Sphere
4
4
SV 3πr3 3 π cube of radius
SA 4πr2 4 π square of radius
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Equations of a Line
Slope-Intercept Form:
Coordinate Geometry Formulas
Let (x1, y1) and (x2, y2) be two points
in the plane.
y mx b
y2 y1
slope x x where x2 x1
2
1
where m slope and b y-intercept
 x 1 x 2
Point-Slope Form:
midpoint 
y y1 m(x x1)
where m slope, (x1, y1) point on line
Combinations and Permutations
n!
nCr r!(nr)!
distance n!
nPr (nr)!
180(n 2)
n
where n is the number of sides of the polygon









b
tan x Interest Formulas
Simple Interest: A P(1 rt)
A amount (including interest)
P principal
r interest rate (expressed as a decimal)
n number of compoundings per year
t number of years
adj 
b
cos x c 
hyp 
x
(x2 x1)2 (y2 y1)2
Polygon Angle Formulas

opp 
a
sin x c 
hyp
a
y 1 y 2 
2 
Sum of degree measures of the interior
angles of a polygon:
180(n 2)
Degree measure of an interior angle of
a regular polygon:
Formulas for Right Triangles
c
2
,
opp 
a

adj 
b
Pythagorean Theorem: a2 b2 c2
(
r
Compound Interest: A P 1 n
)
nt
Special Right Triangles
Quadratic Equations
Let ax + bx + c = 0, where a 0.
2
−b ±
Then x 30˚
2
45˚
3
2
1
b2 4ac
2a
x-coordinate of vertex = b
2a
Distance Traveled
45˚
60˚
1
1
d rt
distance rate time