LESSON 8 : AREA COMPUTATION

Question 1

According to method of determining the area, some areas may be in the shape of?

Answer 1

regular geometric figure (square, triangle, or parallelogram)

irregular (bounded entirely by curved boundaries.)

Question 2

The method of determining areas of land by plane surveying differs from that of ________.

Answer 2

Geodetic Surveying

Question 3

In plane surveying, the area is not the actual area of the land surface but is taken as its projection upon a __________.

Answer 3

horizontal plane

Question 4

The area can be found by dividing the lot into a series of triangles, making the necessary measurements and then calculating the area by any of the usual trigonometric formulas.

Answer 4

Area by Triangles

Question 5

The scaled drawing is marked off in squares of unit areas then counted. This is used to approximate areas.

Answer 5

Area by Coordinates Squares

Question 6

The polar planimeter is a mechanical device used to determine the area of any shape of figure plotted to a known scale by directly tracing the perimeter and reading the result from the scale.

Answer 6

Area by Polar Planimeter:

Question 7

is based on the following rule in analytic geometry: If the vertices of the figure are taken in order around the figure, the area is equal to one-half the sum of the products of each ordinate multiplied by the difference between the two adjacent abscissas always subtracting the preceding from the following abscissa.

Answer 7

Area by Coordinates

Question 8

This method is an adaptation of the coordinates method and is convenient to use when the latitudes and departures of the traverse are known.

Answer 8

Area by Double Meridian Distance (DMD)

Question 9

is the distance of the midpoint of a line to the reference meridian.

Answer 9

Meridian Distance

Question 10

DMD Rule 1

Answer 10

The DMD of the first course is equal to the departure of the course.

Question 11

The DMD of any other course is equal to the DMD of the preceding course, plus the departure of the preceding course, plus the departure of the course itself.

Answer 11

DMD Rule 2

Question 12

DMD Rule 3

Answer 12

The DMD of the last course is numerically equal to the departure of that course, but with opposite signs.

Question 13

DPD Rule 1

Answer 13

The DPD of the first course is equal to the latitude of the course.

Question 14

The DPD of any other course is equal to the DPD of the preceding course, plus the latitude of the preceding course, plus the latitude of the course itself.

Answer 14

DPD Rule 2

Question 15

DPD Rule 3

Answer 15

The DPD of the last course is numerically equal to the latitude of that course, but with opposite signs.

Question 16

Areas with irregular or curved boundaries are usually measured by establishing a base line conveniently near and by taking offsets at regular intervals from the base line to the boundary.

Answer 16

Area by Offsets from Straight Lines