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Areas Regular Figures Mathematical Formulae Method of Coordinates
Irregular Figures Graphical Method Give and Take Method Trapezoidal Rule Simpson’s One-Third Rule
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Area is divided into triangles, rectangles, squares or trapeziums
Area of the one figure (e.g. triangles, rectangles, squares or trapeziums) is calculated and multiplied by total number of figures
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Mathematical Formulae
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Mathematical Formulae
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Areas by Method of Coordinates
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Areas by Method of Coordinates
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Areas by Method of Coordinates
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Areas by Method of Coordinates
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Areas by Method of Coordinates
= ft2
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Areas Irregular Figures Give and Take Method Graphical Method
Trapezoidal Rule Simpson’s One-Third Rule
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Give and take Method In this method, the irregular figure is replaced by a regular one of approximately equal area that can be calculated by one of the methods explained earlier.
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Graphical Method Area=( number of compelet squer* area of each squer)+
(area of the uncompelet sqer
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Graphical Method =1 cm2
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Trapezoidal Rule
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Trapezoidal Rule
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Trapezoidal Rule
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Example
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Example
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Simpson’s One-Third Rule
Offset Intercept ONLY used with Odd number of offsets (i.e. Even number of Intercepts)
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Simspon’s One-Third Rule
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Example
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Areas with mechanical Tools
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Optical Polar Planimeter
Planimeters Digital Planimeter Optical Polar Planimeter
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Planimeters
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From internet : Measure areas using Google Maps
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Calculate area with computer
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Scanner the map then calculate the area by specialized program
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By Auto cad
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