GIS round-buffer rectangle area calculator

Calculate buffered rectangle area and added area with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use buffered rectangle area and added area to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Rectangle width in planar units
10
Rectangle height in planar units
5
Outward round buffer distance
2
Buffered rectangle area
122.566371
Added area
72.566371

Try another scenario

Rectangle width in planar units
11
Rectangle height in planar units
5
Outward round buffer distance
2
Buffered rectangle area
131.566371
Added area
76.566371
Calculation method

Calculation method

Buffered rectangle area

width×height +2(width+height)r + pi r²; round outer corners.

Added area

2(width+height)r + pi r².

Symbols and units
a
Rectangle width in planar units
b
Rectangle height in planar units
c
Outward round buffer distance

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Exact outward round buffer area for a planar rectangle. General polygon/line/negative buffering is not supported. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Rectangle width in planar units: minimum 1e-12, maximum 1000000000000.0. Rectangle height in planar units: minimum 1e-12, maximum 1000000000000.0. Outward round buffer distance: minimum 0, maximum 1000000000000.0.
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