circle, cube, and cuboids

7/31/2019 Circle, Cube, And Cuboids

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CIRCLE, CUBE, andCUBOIDS


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CIRCLE

CUBE

CUBOIDS

MENU

EXIT


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PARTS OF CIRCLE

O = The center of circle

AB = Diameter

OA,OB,OC = Radius

DE = Chord

DE, BC = Arc

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Circumference and Areaof A Circle

v Circumference :

v C =

=

v Area :

v A =

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AREAr

Circumference


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The Length of Arc andArea of Sector

v The Length of Arc :

The length of Arc AB =

v The Area of Sector :

The Area of Sector AOB =

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The Length of the Radiusof Inscribed Circle Of The

Trianglev The length of radius of Inscribed circle :r =

Note :r = the radius of Inscribed circle

A = the area of ABC

S = =

A

BC

O

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The Length of the Radiusof Circumscribed Circle

v The length of radius of Circumscribedcircle :

r =

Note :

r = radius of Circumscribed circle

A = the Area of triangle

a,b,c = the side length of triangle

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The Internal intersectionof chords

v The Internal intersection of chords :

APD = The Internal intersection of chords

xAD

BC

A

B

P

CD

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The External intersectionof chords

v The External intersection of chords :

PRT = the external intersection of chords

P

S

T

QRx

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Common Interior TangentOf Circle

v PT is called The common interiortangent

Note :

PT = the common interior tangent

AB = the distance of both centres

R,r = radius

AB

S

M

T

P

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The Common Exterior TangentCircle

v AB is called Common Exterior Tangent

Note :AB = The Common Exterior Tangent

OP = the distance of both centres

R,r = radius

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The minimum length of string to fastenthe circles

v Two radii are same :

v Two radii are difference :

A B

C D

EF

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CUBE

v Cube is solid figure having sixcongruence square faces and eightvertices

The figure beside is

cube ABCD.EFGH

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D

A B

C

E F

GH

BACK


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The relation of edges oncube

v Parallel edges, ex :

v Perpendicullar edges, ex :

v Skew edges, ex: AB skew to

GC

v Coincident edges : AB coincideto BA

v The sum of edges length :

Formula : 12s

D

A B

C

E F

GH

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Face Diagonal

v Ex :AF,BE,BG,CF,CH,DG,DE,AH,EG,EF,AC,BD

v Formula of face diagonal length :

D

A B

C

E F

GH

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Space Diagonal

v Ex : AG, BH, CE, DF

v Formula of space diagonal length :

D

A B

C

E F

GH

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Diagonal Plane

v Ex :ABGH,CDEF,BCHE,ADGF,EACG,HDBF

v Formula of diagonal plane area :

D

A BC

E F

GH

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Net and Surface Area ofCube

D

A B

C

E F

GH

Surface area of cube= 6s

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Volume Of A Cube

v Volume of cube = s x s x s

=

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CUBOIDS

v Cuboids is solid figure having sixcongruence square faces and eightvertices

v The below is figure of cuboidsABCD.EFGH

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A B

CD

E F

GH


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The relation of edges incuboids

v Parallel edges, ex :

v Perpendicullar edges, ex :

v Skew edges, ex : AB skew to FG

v Coincident edges, ex : AB coincide toBA

v The sum of edges length : 4(l+w+h)

A BC

D

E F

GH

lw

h

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Face Diagonal

v Ex : AF,BE,BG,CF,CH,DG,DE,AH,EG,EF,AC,BD

A B

CD

E F

GH

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Space Diagonal

v Ex : AG, BH, CE, DF

v Formula of space diagonal length :

A B

CD

E F

GH

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Diagonal Plane

v Ex :ABGH,CDEF,BCHE,ADGF,EACG,HDBF

A B

CD

E F

GH

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Net and surface area ofcuboids

A B

CD

E F

GH

Surface Area of Cuboids =

2(lw+lh+wh)

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Volume of A Cuboids

v V = l.w.h

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ThankYou

circle, cube, and cuboids

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