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
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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.
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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. |
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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
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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 |
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Method 2
Compute along chord
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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 |
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