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  Area and Volume of Plane Figures Homework Help - K-12 Grade Level, College Level Mathematics

Introduction to Plane Figures:

In plane geometry, all the shapes exist in a flat plane. A plane can be thought of a flat sheet with no thickness, and which goes on forever in both directions.

Introduction of Area:

Area is a quantity that expresses the extent of a two-dimensional surface or shape or planar lamina, in the plane. It can be understood as amount of material with a given thickness that would be necessary to fashion a model of the shape or the amount of paint necessary to cover the surface with a single coat. It is the 2-dimensional analog of the length of a curve (a 1-dimensional concept) or the volume of a solid (a 3-dimensional concept).

Important Formulas of area of plane figures:

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Triangle

Area = ½ × b × h

b = base, h = vertical height.

Rectangle

Area = w × h

w = width, h = height

Trapezoid (US),Trapezium (UK)

Area = ½(a+b) × h

h = vertical height

Square

Area = a2

a = length of side

Circle

Area = π × r2

Circumference = 2 × π × r

r = radius


 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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