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Circular arc from chord and rise

Two measurements.
A curve to trace.

Turn a straight chord and its perpendicular midpoint rise into a minor circular arc. See the radius and length, mark chord stations, then save a calibrated centreline SVG or coordinate CSV.

Free local geometrySVG + station exportNo account

Lay out your circular arc

CHORD · MIDPOINT RISE · MINOR ARC UP TO A SEMICIRCLE

01 / Measure across and up

A circular centreline,
from its chord.

Assumes a symmetric circular arc. Rise is measured perpendicular to the straight chord at its midpoint, rather than along the curve.

One ideal minor circular centreline, including the semicircle and straight-line limit. This does not fit ellipses or irregular curves, calculate structural spans or loads, determine bending feasibility, or add material thickness, kerf or cutting offsets. Input decimals allow up to 6 places. SVG curves use a bounded polyline approximation; measurement, printer and cutter accuracy remain outside the model.

Measure the chord straight.

The chord connects the endpoints directly. A tape following the curved edge measures arc length instead, which is a different input.

Take rise at the midpoint.

Use the perpendicular distance from the midpoint of the chord to the arc. Off-centre measurements do not describe this symmetric model.

Keep the reference line.

The station table uses the left chord end as x = 0 and the chord as y = 0. SVG millimetre scale and its printed calibration line make that reference traceable.