Given the following traverse data:

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Figure G-1
Example Problem

 

Explain the computation process to determine:

  • Coordinates of the traverse points
  • Area of the traverse

Compute Coordinates

Start at point D; perform a forward computation to point C.

 

 

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At point C, compute direction to radius point;

Az = (60°38’54”+180°)-90°00’00” = 150°38’54”

Perform a forward computation to radius point.

 

 

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At radius point, compute direction to point B.

Az = (150°38'54"+180°00'00") + 42°30'00" = 373°08'54" = 13°08'54"

Perform a forward computation to point B.

 

 

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 At point B, compute direction to point A.

Az = (13°08'54"+180°00'00) - 50°15'00" = 142°53'54"

Perform a forward computation to point A.

 

 

 img89

 

There isn't sufficient data to perform a forward computation from point A to point E.

Point E is also connected to point D but there isn't enough data to perform a forward computation from point D.

However, point E can be determined by a Distance-Direction intersection using its connections to points A and D.

Compute direction from point A to E

Az = (142°53'54"+180°00'00") - 67°48'25" = 255°05'09"

Compute the Distance-Direction intersection.

 

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Compute Area 

Method 1

Compute through radius point

List coordinates through the radius point and compute the area.

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Compute the Sector area.

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Add the two areas together to determine total area: Area = A1 + A2

 

Method 2

Compute along chord

List coordinates going along the chord and compute the area.

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Compute the Segment area. 

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Add the two areas together to determine total area: Area = A1 + A2