surya presentation

8/7/2019 surya presentation

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The topic is about

area.

Introduction:-


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We all have some naive sense of 'area', but let's try to really

understand what area is. We are taught certain formulas as

children, for example, the area of a triangle is half its basetimes its height. But what does this actually mean? And how

do we know it is true?

In fact, the concept of area is not at all a simple one.Pythagoras, the first person to use the word "Mathematics",

is associated with an ancient form of geometry called "the

application of area", which is basically the attempt to truly

understand what area is. In fact, it seems that there would no

true way to define area, but this does not mean that we haveno way of properly studying area. In order to do that, we will

have to find a more humble goal than defining area -- to know

when two shapes have the same area. This goal will guide us

during the whole discussion presented here. Keep it in mind.

Area:-


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Area of Plane Shapes

Triangle

Area = b hb = baseh = vertical height

Square

Area = a2a = length of side

Rectangle

Area = w hw = width

h = height

Parallelogram

Area = b hb = base

h = vertical height

Trapezoid (US)Trapezium (UK)

Area = (a+b) h

h = vertical height

Circle

Area = r2

Circumference=2r

r = radius

Ellipse

Area = abSector

Area = r2r = radius

= angle in radians

Here is an example:


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Shapes Formula

Rectangle:Area = Length X WidthA = lw

Perimeter = 2 X Lengths + 2 X WidthsP = 2l + 2w

ParallelogramArea = Base X Heighta = bh

TriangleArea = 1/2 of the base X the heighta = 1/2 bhPerimeter = a + b + c(add the length of the three sides)


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Trapezoid

Perimeter = area + b1 + b2 + cP = a + b1 + b2 + c

Circle Try the Online tool.

The distance around the circle is acircumference. The distance across the circle isthe diameter (d). The radius (r) is the distancefrom the center to a point on the circle. (Pi =3.14) More about circles.

d = 2rc = Td = 2 TrA = Tr

2

T=3.14)

Rectangular SolidVolume = Length X Width X HeightV = lwhSurface = 2lw + 2lh + 2wh

PrismsVolume = Base X Heightv=bhSurface = 2b + Ph (b is the area of the base P isthe perimeter of the base)

CylinderVolume = Tr2 x heightV = Tr2 hSurface = 2T radius x heightS = 2Trh + 2Tr2


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PyramidV = 1/3 bhb is the area of the baseSurface Area: Add the area of the base to the sumof the areas of all of the triangular faces. The areasof the triangular faces will have different formulasfor different shaped bases.

ConesVolume = 1/3 Tr

2x height

V= 1/3 Tr2h

Surface = Tr2

+ Trs

S = Tr2

+ Trs=Tr

2+ Tr

SphereVolume = 4/3 Tr

3

V = 4/3 Tr3

Surface = 4Tr2

S = 4Tr2

This are some formula of

area!


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Those are some questions of

area.


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Thank you.!

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