1. Areas Regular Figures Mathematical Formulae Method of Coordinates
Irregular Figures
Graphical Method
Give and Take Method
Trapezoidal Rule
Simpson’s One-Third Rule

2. 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

3. Mathematical Formulae

4. Mathematical Formulae

7. Areas by Method of Coordinates

8. Areas by Method of Coordinates

9. Areas by Method of Coordinates

10. Areas by Method of Coordinates

11. Areas by Method of Coordinates
= ft2

12. Areas Irregular Figures Give and Take Method Graphical Method
Trapezoidal Rule
Simpson’s One-Third Rule

13. 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.

15. Graphical Method Area=( number of compelet squer* area of each squer)+
(area of the uncompelet sqer

16. Graphical Method
=1 cm2

17. Trapezoidal Rule

18. Trapezoidal Rule

19. Trapezoidal Rule

20. Example

21. Example

22. Simpson’s One-Third Rule
Offset
Intercept
ONLY used with Odd number of offsets
(i.e. Even number of Intercepts)

23. Simspon’s One-Third Rule

24. Example

26. Areas with mechanical Tools

27. Optical Polar Planimeter
Planimeters
Digital Planimeter
Optical Polar Planimeter

28. Planimeters

29. From internet :
Measure areas using Google Maps

30. Calculate area with computer

31. Scanner the map then calculate the area by specialized program

32. By Auto cad