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:
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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