area important fact and formula

8/6/2019 Area Important Fact and Formula

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SurfaceYou maconcentrsurface a

Triang

A trianglThe perp PerimetArea =

Paralle

A parallThe peri P = 2a +

The heig Area = b It is impmeasureheight wthe heigh

Square

A square PerimetArea = s2

area and voy need toation, for erea and volu

e

e is a threeendicular di

r = a + b +bh

ogram

logram is aeter ( P ) i

2b

ht ( h ) is th

x h

rtant to mefrom side

as measuredt is perpend

is a quadra

r = 4s

lume formucalculate sample. Whme formula

ided closedstance from

c

quadranglethe distanc

perpendic

sure the coto the opp

from a to aicular to is

gle where

las are partrface area

ile it's a gos to use as

figure.the base to

where oppoe around th

lar distance

rect side insite side b,then the Aalled the 'b

ll four side

of the matand volu

od idea tohandy refe

the opposite

site sides aroutside of

from one p

this calculatso the Areaea would bse' and usu

are of equa

used in ce to deteremorize t

ence.

highest poi

parallel tohe parallelo

rallel side t

ion. In the f is calculatea x h. Conlly denoted

l length.

mmon scieine densit

ese formul

nt is called t

each other.gram.

o it's opposi

igure, the has b x h, nention conswith a b.

nce calculaty, pressures, here a li

he height (

te side.

ight ist a x h. If t

iders the si

ions.and

ist of

).

ee



Rectan

A

rectangsides are

The peri

P = 2h +

Area = h

Trapez

A trapezThe perp

PerimeteArea = ½(

Circle

A circle iCircumfe

Diameter

Radius ( r

The ratio

The unived = 2r

c = π d = 2Area = π r

le

le

is

a

specialthe same leneter ( P ) is t

w

w

oid

id is anothendicular dist

r = a + b1 + b2

b1 + b2 ) x h

an ellipse wence ( c ) is t

( d ) is the di) is the distabetween thersal pi= π Val

π r 2

type

of

quagth.

he distance a

special quaance betwee

+ c

here the disthe distance a

stance of thece from the

circumferenue is 22/7 or

rangle

wher

round the o

rangle whern the two pa

ance from thround the o

line throughcenter of thce and the di 3.14159265

e

all

the

inte

tside of the

e only two sirallel sides is

e center to ttside of the

the center o circle to theameter is eq

ior

angles

ar

ectangle.

es are parallcalled the h

e edge is cocircle.

f the circle fr edge.

al to the nu

e

equal

to

90

el to each otight ( h ).

stant.

om edge to

ber π .

°

and

all

opp

her.

dge.

osite



Ellipse

An ellipse

is a constThe shortThe long

Area = π r

Hexag

A regularthe radiu

PerimeteArea = (3

Octago

A regular

PerimeteArea = ( 2

or oval is a f

ant.

est distance

st distance b

1r2

n

hexagon is a ( r ) of the h

r = 6r

3/2 )r2

octagon is a

r = 8a

+ 2 √ 2 )a 2

igure that is t

etween the

etween the

six sided polexagon.

eight sided

raced out w

center of an

enter of an

ygon where

olygon wher

ere the sum

ellipse to thellipse to the

each side is o

e each side is

of the distan

edge is calleedge is calle

f equal lengt

of equal len

ces between

d the semim the semima

h. This lengt

gth.

two fixed p

inor axis ( r1 ) jor axis ( r2 )

is also equa

ints

l to



Rectan

Surface

Volume =

where

l = length

h = heigh

Prism

A prismthick, bu Surface

whereA = areaP = perid = heig Volume

Cylind

A cylind SurfaceVolume

ular Soli

rea = 2(lh) + l x h x w

can be desct any shape

area = 2A

of the baseeter of bast of prism

= Ad

r

r is a prism

Area = 2 πr= πr 2h

2(lw) + 2(w

ibed as a stould be us

Pd

shapeshape

with a circ

+ 2 πrh

)

ck of shaped.

lar base.

s. The figur shows a prism of trian gles stacked d



Sphere

A sphereThis dist SurfaceVolume

Pyrami

A pyrampoint ovThe heigThe sideThe peri Surface

Volume

The figu

SurfaceVolume

Cone

A cone ithe side.

s = √( r 2

Surface

is a shapeance is calle

area = 4 πr 2

= 4/3 πr 3

d

id is a solidr the center

ht ( h ) is thlength ( s ) i

eter ( P ) a

Area = ( ½

= 1/3 Ah

e shows a p

area = a 2 += √5(a 3/6)

a pyramid

+ h 2 )

Area = πr 2

here the did the radius

figure withof the base.distance fr

is the heightnd the area

x P x s ) +

yramid with

√3( a 2 )

with a circu

+ π( r x s )

tance from( r ).

a polygonal

om the baseof the faceA ) of the

a square b

lar base of r

the center t

base and tri

to the apextriangles.ase is calcu

se ( a = b )

adius ( r ) an

the edge is

angular face

or top of th

lated accord

ith equilat

d the side l

the same in

s that meet

pyramid.

ing to the s

ral triangle

ngth ( s ) is

all directio

at a commo

ape of the

s for faces.

the length

s.

ase.

f

area important fact and formula

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