MATH

Geometric Formulas

Area of a square

A

=

s

2

where

s

= side length

Area of a rectangle

A

=

lw

where

l

= length and

w

= width

Area of a triangle

A

=

2

1

bh

where

b

= base and

h

= height

Area of a parallelogram

A

=

bh

where

b

= base and

h

= height

Area of a circle

A

=

π

r

2

where

π

= 3.14 and

r

= radius

Circumference of a circle

C

=

π

d

where

π

= 3.14 and

d

= diameter

Perimeter of a polygon

P

= Sum of the length of the sides

Perimeter of a rectangle

P

= 2

l +

2

w

where

l

= length and

w

= width

Perimeter of a square

P

= 4

s

where

s

= side length

Volume of a triangular prism

V

=

Bh

where

B

= area of base and

h

= height

Volume of a rectangular prism

V

=

lwh

where

l

= length,

w

= width, and

h

= height

Volume of a cylinder

V

=

π

r

2

h

where

π

= 3.14,

r

= radius, and

h

= height

Volume of a sphere

Volume

=

3

4

π

r

3

;

Surface

= 4

π

r

2

Volume of a cone

Volume

=

3

1

π

r

2

h; Surface

=

π

r

2

+ π

rl

Volume of a cube

Volume

=

s

3

;

Surface

= 6

s

2

Surface area of a polyhedron

S

= Sum of the area of the faces

Surface area of a cylinder

S

= Sum of the lateral surface area and the area of the

two bases

Lateral surface area = 2

π

rh

Area of two bases = 2

π

r

2

Polynomials

Tables of Formulas

a(b +c) = ab + ac

(a + b)

2

= a

2

+ 2ab + b

2

(a – b)

2

= a

2

– 2ab + b

2

(a + b)(c + d) = ac + ad + bc + bd

(a + b)

3

= a

3

+ 3a

2

b + 3ab

2

+ b

3

(a – b)

3

= a

3

– 3a

2

b + 3ab

2

- b

3

(a + b)(a – b) = a

2

– b

2

(a + b)(a

2

– ab + b

2

) = a

3

+ b

3

(a - b)(a

2

+ ab + b

2

) = a

3

– b

3

(a + b + c)

2

= a

2

+ b

2

+ c

2

+ 2ab + 2ac + 2bc

Other Formulas

Distance traveled

d

=

rt

where

r

= rate,

d

= distance, and

t

= time

Simple interest

I

=

Prt

where

I

= interest,

P

= principal,

r

= rate, and

t

= time

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