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PLANIMETER
Surveying
BY MR. S.N. NANAWARE
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2. TOPIC :PLANIMETER PRESENTED BY:- Vivek Dhut 130870106025
Vrunda Doshi
Kajal Gadhavi
Darshan Gandhi
Gaurang Badhivala

3. Optical Polar Planimeter
Planimeters
Digital Planimeter
Optical Polar Planimeter

4. Planimeters

5. Note : the accuracy of the results obtained from using planimeter in the measurement of areas depends mainly on the original accuracy drawn map, as well as on the experience of the operator when tracing boundary of the figure.

6. Areas Regular Figures Mathematical Formulae Method of Coordinates
Irregular Figures
Graphical Method
Trapezoidal Rule
Simpson’s One-Third Rule

7. Mathematical Formulae

8. Mathematical Formulae

9. Areas by Method of Coordinates

10. Areas by Method of Coordinates

11. Content Areas of Irregular Figures Graphical Method Trapezoidal Rule
Simspon’s One-Third Rule

12. Graphical Method
(Figure 8.8)

13. Trapezoidal Rule

14. Trapezoidal Rule

15. Trapezoidal Rule

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

17. Simspon’s One-Third Rule

18. Area Calculation
Trapezoidal Rule
Simpson's One-Third Rule

19. Content Volumes by: Volume from Spot Levels Average-End-Area Method
Prismoidal Method
Contour Maps
Volume from Spot Levels

20. Cut and Fill

21. Average-End-Area Method

22. Prismoidal Method

23. Calculating Volumes from Contour Map

24. Volume from Spot Levels

25. Volume from Spot Levels

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