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CIRCLE CYLINDERCIRCLE CYLINDERCONE SPHERECONE SPHERE

TRIANGLESTRIANGLES

THIS PRESENTATION ISTHIS PRESENTATION IS

MADE BYMADE BY

HARINDER KAURHARINDER KAURSHAHEENSHAHEEN

GOVT. SEN.SEC. SCHOOL LIBRA.GOVT. SEN.SEC. SCHOOL LIBRA.

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PREVIOUS KNOWLEDGEPREVIOUS KNOWLEDGE

It is assumed that the studentIt is assumed that the studentknow aboutknow about

Radius of the circle , sphere ,Radius of the circle , sphere ,cone , cylindercone , cylinder

Height of the cylinder , coneHeight of the cylinder , cone

Sides of the trianglesSides of the triangles

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OBJECTIVEOBJECTIVE

To know how to calculate areaTo know how to calculate areaand circumference of the circle ?and circumference of the circle ?

How to calculate volume , surfaceHow to calculate volume , surfacearea of the cylinder , cone ,area of the cylinder , cone ,sphere ?sphere ?

How to calculate area andHow to calculate area andperimeter of the square andperimeter of the square andrectangle?rectangle?

How to calculate area of theHow to calculate area of the

triangles ?triangles ?

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RELATIVE QUESTIONSRELATIVE QUESTIONS

Q1 If the radius of the circle is 7 cm. Find area andQ1 If the radius of the circle is 7 cm. Find area andcircumference .circumference .

If the radius of the cylinder is 14 cm. And height isIf the radius of the cylinder is 14 cm. And height is28 cm. Find volume , lateral surface area and total28 cm. Find volume , lateral surface area and totalsurface areasurface area

Find the volume , slant height and lateral surface areaFind the volume , slant height and lateral surface areaof the cone if radius = 6 cm. and height = 8 cm.of the cone if radius = 6 cm. and height = 8 cm. Find the volume and surface area of the sphere ifFind the volume and surface area of the sphere if

radius is 21 cm.radius is 21 cm. Find the area of the triangle if sides are 12 cm. , 10Find the area of the triangle if sides are 12 cm. , 10

cm., and 8 cm., using Hero formulascm., and 8 cm., using Hero formulas

Find the volume of the hemi sphere if radius is 35Find the volume of the hemi sphere if radius is 35cm.cm. If the length and breadth of the rectangle is 45 cm.If the length and breadth of the rectangle is 45 cm.

and 24 cm. Find its area and perimeterand 24 cm. Find its area and perimeter Find the area and perimeter of the square if side =Find the area and perimeter of the square if side =

12m.12m.

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Circumference of the circleCircumference of the circle

A=areaA=area

r=radiusr=radius d=Diameterd=Diameter c=circumferencec=circumference

C=2C=2rr

A=A= rr22

C=C= dd

d= cd= c r

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CIRCULAR CYLINDERCIRCULAR CYLINDER

V =volume r = RadiusV =volume r = Radius

h = Heighth = Height V =V = rr22 hh

Lateral surface area ofLateral surface area of

the cylinder = 2the cylinder = 2 r hr h Total surface area ofTotal surface area of

the cylinder = 2the cylinder = 2r(r+h)r(r+h)

h

rdr

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CONECONE

V =volume r = radiusV =volume r = radiush = height l = slanth = height l = slantheightheight

V =V = rr22 hh Lateral surface area ofLateral surface area of

the cone =the cone = r lr l

Slant height = rSlant height = r22 ++hh22

Total surface area ofTotal surface area of

the cone =the cone = r ( r + l )r ( r + l )

r

l h

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SPHERESPHERE

V = volume r = radiusV = volume r = radius

Volume of the sphere = 4Volume of the sphere = 4/3/3 rr33

Surface area of the sphere = 4Surface area of the sphere = 4 rr22

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Hemi SphereHemi Sphere

V = volume r = radiusV = volume r = radius

Volume of the hemi sphere =Volume of the hemi sphere =

rr33

Surface area of the hemi sphereSurface area of the hemi sphere= 2= 2 rr22

Total surface area of the hemiTotal surface area of the hemisphere = 3sphere = 3 rr22

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TRIANGLESTRIANGLES

Area of the right angledArea of the right angledtriangle =triangle = basebase height OR height OR bb hh

Area of the equilateralArea of the equilateraltriangle = ( side )triangle = ( side )22OR aOR a22

Hero` s Formula S =Hero` s Formula S = ( a + b + c ) ( a + b + c )

Area = s ( sArea = s ( s a )( sa )( s--b)b)( s( s--c )c )

a= First side b =a= First side b =Second side c = ThirdSecond side c = Thirdsideside

b

h

a

b

c

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SQUARESQUARE

Area of the square = sideArea of the square = side sidesideOR A = aOR A = a aa

Perimeter of the square = 4Perimeter of the square = 4side OR P = 4side OR P = 4 aa

(a = side)(a = side) a

a

a

a

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RECTANGLERECTANGLE

Area of the rectangleArea of the rectangle= lengh= lengh breadthbreadthOR A = lOR A = l bb

Perimeter of thePerimeter of therectangle = 2 ( l + b )rectangle = 2 ( l + b ) l

b

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REFERENCE BOOKSREFERENCE BOOKS

Class 10Class 10thth Text book by PunjabText book by Punjab

School Education Board MohaliSchool Education Board Mohali

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THANKS TOTHANKS TO

Out teachers MISS. RAMANDEEPOut teachers MISS. RAMANDEEPBHATIA & S. GURBHACHANBHATIA & S. GURBHACHANSINGH for their valuableSINGH for their valuableguidance to prepare us for thisguidance to prepare us for this

presentation.presentation.