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Radial Set-Out Sheet

Enter an instrument station, a backsight point and an ordered design-point list to prepare grid bearings, horizontal distances and clockwise angles from the backsight. Print the field sheet or download its rows as CSV; all calculations stay in this browser.

USACE EM 1110-1-1005 · 1 Jan 2007 · §§3-3(e–f), 3-4(c–d), 3-6, 3-12(e), 7-22–7-23WSDOT Field Formulas M 22-24 · final-rounding note

Uses only this tool title and its public link. Inputs, results, coordinates and filenames are not included. Sharing starts only when you press the button.

Free advisory field tool — every result is computed in your browser from the inputs you provide and is advisory and unverified, not for survey deliverables. Where a published guideline applies, results only ever read “within guideline” or “exceeds guideline — review”. The full working is shown for every calculation so each step can be re-checked. Registered surveyor confirmation required before reliance.

Instrument setup

Station, backsight and design points

Bearings are clockwise from grid north. The check angle is clockwise from the backsight zero to each design point. RL and instrument height are sheet metadata only.

Station
Backsight point
Printed sheet details

Printed identifier only; separate from instrument height.

CSV or whitespace rows. A header is optional. Point IDs must be unique.

Enter calculates from a single-line field. Enter still adds a new line in pasted lists.

Radial set-out sheet

Bearings, distances and backsight angles

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Radial set-out sheet

Advisory output — confirm independently before reliance.

Job no.
________________
Date
________________
Crew
________________
Instrument
________________
OK

Radial values were calculated on the supplied plane grid. Check the setup and project reference before field use.

Station E
500000
Station N
6960000
Station RL
10
Instrument height
1.5
Backsight E
500000
Backsight N
6960100
Backsight bearing
0°00′00.00″
Instrument-axis RL (metadata)
11.5
Design point schedule - clockwise angle from backsight
PointEastingNorthingRLGrid bearingHD (m)Angle from BS
DP-0150003069600409.8236°52′11.63″5036°52′11.63″
DP-0250006069600209.7671°33′54.18″63.245671°33′54.18″
DP-034999806959975-218°39′35.31″32.0156218°39′35.31″

RL and instrument elevation are recorded as metadata only. This sheet does not calculate vertical angles, target heights, curvature or refraction.

Checked by — registered surveyor review

Name
Signature
Date
Show the working
  1. backsight ΔEE2 − E10
  2. backsight ΔNN2 − N1100
  3. backsight distance√(ΔE² + ΔN²)100
  4. backsight bearingatan2(ΔE, ΔN) (from grid north, clockwise)0
  5. DP-01 delta Etarget E - station E30
  6. DP-01 delta Ntarget N - station N40
  7. DP-01 horizontal distancesqrt(delta E^2 + delta N^2)50
  8. DP-01 grid bearingatan2(delta E, delta N), clockwise from grid north36.86989765
  9. DP-01 backsight anglenormalize360(target bearing - backsight bearing)36.86989765
  10. DP-02 delta Etarget E - station E60
  11. DP-02 delta Ntarget N - station N20
  12. DP-02 horizontal distancesqrt(delta E^2 + delta N^2)63.2455532
  13. DP-02 grid bearingatan2(delta E, delta N), clockwise from grid north71.56505118
  14. DP-02 backsight anglenormalize360(target bearing - backsight bearing)71.56505118
  15. DP-03 delta Etarget E - station E-20
  16. DP-03 delta Ntarget N - station N-25
  17. DP-03 horizontal distancesqrt(delta E^2 + delta N^2)32.01562119
  18. DP-03 grid bearingatan2(delta E, delta N), clockwise from grid north218.65980825
  19. DP-03 backsight anglenormalize360(target bearing - backsight bearing)218.65980825
  20. instrument-axis RL (metadata)station RL + instrument height (metadata only)11.5

Working trace rendered from the same computation as the result above — re-check any step by hand before relying on it.

Prepare a local sheet copy (PDF/CSV)

Prepare the current radial set-out sheet directly in this browser. CSV downloads here; PDF opens the print dialog so you can save it. Nothing is submitted to SurveyMarkup.

Local copy format

The backsight angle is the clockwise horizontal angle from station-to-backsight to station-to-design. Optional RL and instrument height are metadata only; no vertical angle, target-height, curvature or refraction calculation is made.

Advisory output — confirm independently before reliance.

Method

How to prepare a radial set-out sheet

Enter the occupied station, backsight and design points, then review and print the browser-local radial set-out schedule.

  1. Enter the station and backsight

    Enter the occupied station and backsight coordinates, plus optional sheet metadata such as RL and instrument height.

  2. Add the design points

    Paste the ordered point identifiers and coordinates, or load the fictional worked example.

  3. Review and prepare the sheet

    Inspect each grid bearing, horizontal distance and clockwise backsight angle, then print the sheet or download its local CSV rows.

Australian surveying FAQ

Questions about Radial set-out sheet

Can I use this page as a set out sheet template?

Yes, as an advisory radial working sheet. Enter the station, backsight and design points, review the calculated schedule, then print it or prepare the CSV locally in the browser.

What does the radial set-out sheet calculate?

For each design point it shows the grid bearing, horizontal distance and clockwise horizontal angle from the station-to-backsight direction.

Do RL and instrument height create vertical set-out values?

No. RL and instrument height are sheet metadata only. The tool does not calculate a vertical angle, target height, curvature or refraction correction.

Related
Free-station / 2-point resection Offset from design line COGO — bearing, distance & area Docs hub — working-data guides All field tools

Safety & scope

SurveyMarkup helps prepare and review working information. Every professional decision remains with the registered surveyor, and original data and final outputs require qualified review.

Assistance only - professional review remains required.