Shape Math

Page 37

Shape Math

Shape Formulas

Square/Rect

angle

Area =

Length X

Width

Perimeter

= 2 X

Lengths + 2

X Widths

A = lw

P=2l+2w

Parallelogra

m

Area =

Base X

Height

A=bh

Triangle Area = ½

base X

height

Perimeter

= add

length of

three sides

A = 1/2b

h

P=a+b+c

Trapezoid Area =

(b1+b2/2)h

Perimeter

=

area+b1+b

2+c

P=a+b1+

b2+c

Circle The

distance

around the

circle is

circumfere

nce= c.

Distance

across is

the

diameter =

d

Radius = r

the

distance

from the

center to a

point on

the circle

D=2r

C=πd=2π

r

A=πr2

π=3.1415

Prism Surface

Area =

2B+Ph

B = area of

the base

P =

perimeter

of the base

Volume =

base X

height

Cylinder Surface

Area = 2π

radius x

height

Volume=

πr2 x height

S=πrh

V= πr2h

Pyramid Surface

Area: Add

area of

base to

sum of the

areas of

the

triangular

faces. The

areas of

the

triangular

faces will

have

different

formulas

for

different

shaped

bases.

Cone Surface

Area = πr2+

πrs

Volume=1/

3 πr2X

height

Sphere Surface

Area = 2 πr

h

Volume =

4/3 πr3

Tangent of

Page 38

the angle X

the

distance =

the rise