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Calcimator

Property Boundary Calculator

Calculate lot area, perimeter, and buildable area from metes and bounds descriptions with closure analysis and setback checks.

About this calculator

This calculator traces up to four metes-and-bounds courses (bearing and distance pairs) from a fixed point of beginning at (0,0), then computes Lot Area from the resulting polygon using the shoelace formula. Closure Error is simply how far the traverse's endpoint lands from the starting point after all four courses are plotted -- at this calculator's default courses (a due-north, due-east, due-south, due-west rectangle), the boundary closes perfectly with zero error, and Precision reads "Perfect closure." Setback checks are entirely separate from the area and closure calculations: Front Setback, Side Setback, and Rear Setback only feed Buildable Area, Buildable Width, and Buildable Depth, and have zero effect on Lot Area, Perimeter, or Closure Error. Buildable Width assumes the first course is the lot's frontage and subtracts both side setbacks from it; Buildable Depth assumes the second course is the lot's depth and subtracts the front and rear setbacks -- both floor at zero rather than going negative if the setbacks exceed the available dimension, which can happen with a narrow lot and generous setback requirements. A bearing determines a course's DIRECTION rather than its length, but how much that matters for Lot Area depends on which specific course you adjust, not a single fixed relationship -- at this calculator's default rectangular layout, Course 1 and Course 4 are the extreme case: their bearings move Lot Area directly, while their distances (holding the default bearing) move it not at all, because those two courses run exactly along the line where the shoelace formula's terms for this rectangle cancel out.

Course 3's bearing moves Lot Area roughly twice as much as the same percentage change to its distance, while Course 2 goes the other way -- its bearing actually moves Lot Area LESS than the same percentage change to its distance. There is no blanket "bearings always swing area more than distances" rule here; it depends on the course and the parcel's actual shape. This calculator only supports rectangular four-course traverses from a fixed origin; it cannot trace irregular parcels with more than four courses or curved boundary segments.

Inputs

° (azimuth)
ft
° (azimuth)
ft
° (azimuth)
ft
° (azimuth)
ft

Results

Lot Area

30,000 sq ft

≈ 7 basketball courts

Lot Area

0.69 acres

≈ 7 basketball courts

Perimeter700 ft
Closure Error0 ft
PrecisionPerfect closure
Buildable Area18,900 sq ft
Buildable Width180 ft
Buildable Depth105 ft
Course 1 (QB)N 0°0'0" E, 200.00 ft
Course 2 (QB)N 90°0'0" E, 150.00 ft
How to Use This Calculator
  1. Enter each course of the metes and bounds description: bearing and distance.
  2. The traverse always starts at the point of beginning (0,0); enter up to 4 courses (bearing and distance) to trace the boundary from there.
  3. Add all courses until the boundary closes.
  4. Review the Closure Error in feet and the Closure Precision ratio.
  5. If closure error exceeds 1:5,000, re-check fieldwork or deed description for errors.

How the result changes with Course 3 Bearing

Course 3 BearingLot AreaLot Area
9020,000 sq ft0.46 acres
13535,355.34 sq ft0.81 acres
27020,000 sq ft0.46 acres
36030,000 sq ft0.69 acres

What each input means

Course 1 Bearing
Azimuth bearing for the first course (typically the front lot line). 0° = due North.
Course 1 Distance
Horizontal distance for the first course (frontage).
Course 2 Bearing
Azimuth bearing for the second course (side lot line).
Course 2 Distance
Horizontal distance for the second course (depth).
Course 3 Bearing
Azimuth bearing for the third course (rear lot line).
Course 3 Distance
Horizontal distance for the third course.
Course 4 Bearing
Azimuth bearing for the fourth course (side lot line).
Course 4 Distance
Horizontal distance for the fourth course.
Front Setback
Required front yard setback.
Side Setback
Required side yard setback (each side).
Rear Setback
Required rear yard setback.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Course 1 Bearing = 0, Course 1 Distance = 200, Course 2 Bearing = 90, Course 2 Distance = 150 = 11 input(s) provided
  2. Calculate Lot Area
    Lot Area
    30000 = 30000
  3. Calculate Lot Area
    Lot Area
    0.6887 = 0.6887
  4. Calculate Perimeter
    Perimeter
    700 = 700
  5. Calculate Closure Error
    Closure Error
    0 = 0

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Where does the traverse start?

The point of beginning is always fixed at coordinates (0,0) -- there is no input for a real-world starting coordinate or monument location. Each of the up to four courses (Course 1 through Course 4 bearing and distance) traces the boundary outward from that fixed origin, and the resulting shape's area and closure are computed relative to it.

Do the zoning setbacks affect the calculated lot area?

No -- Front Setback, Side Setback, and Rear Setback only feed the buildable envelope outputs (Buildable Area, Buildable Width, Buildable Depth) and have zero effect on Lot Area, Perimeter, or Closure Error. The lot's geometry is determined entirely by the four courses' bearings and distances.

Does a bearing change always swing Lot Area more than a distance change?

No -- it depends on which course you adjust. A bearing sets a course's DIRECTION, which can reshape the entire polygon the shoelace formula measures, while a distance only stretches or shrinks one side's length, but the two don't compare the same way for every course. At this calculator's default rectangular layout, Course 1 and Course 4 are the extreme case: their bearings move Lot Area while their distances (holding the default bearing) don't move it at all, since those two courses run exactly along the line where this rectangle's shoelace terms cancel out. Course 3's bearing moves Lot Area roughly twice as much as an equivalent percentage change to its distance -- but Course 2 goes the other way, where its bearing actually moves Lot Area LESS than the same percentage change to its distance. There's no single rule that a bearing change always swings the area more; check which course you're adjusting and the parcel's actual shape.

What does a nonzero closure error mean?

Closure Error is the straight-line distance between where the fourth course ends and the point of beginning (0,0) -- in a real survey, it reveals fieldwork or deed description errors, since a legally described boundary should close exactly. Precision expresses that error as a ratio (perimeter divided by closure error); a ratio worse than about 1:5,000 typically signals the bearings or distances should be re-checked.

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