Target offset · reference reach

Robot radial reach

Inputs

Declared target X offsetxUser-entered target offset from the stated robot-base origin along X.

Declared target Y offsetyUser-entered target offset from the stated robot-base origin along Y.

Declared target Z offsetzUser-entered target offset from the stated robot-base origin along Z.

Declared radial reference reachRrefUser-entered reference radial reach for literal distance comparison; it is not a pose or workspace result.

Literal target radial distance

781.02

Declared radial reference reach

1,000

Literal distance / reference-reach ratio

0.78102

r = √(x² + y² + z²); rratio = r/Rref

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Calculation snapshot

Formula version 1.0.0

Declared target X offset	600
Declared target Y offset	300
Declared target Z offset	400
Declared radial reference reach	1000

Literal target radial distance	781.02 mm
Declared radial reference reach	1,000 mm
Literal distance / reference-reach ratio	0.78102 1

r = √(x² + y² + z²) · rratio = r/Rref

Mecademic robot workspace guidance: https://mecademic.com/insights/academic-tutorials/workspace-six-axis-industrial-robot-arm/

This printout is a record of displayed inputs and deterministic formula output. It is not an approval, certification, or engineering conclusion.

Method

Calculate a target’s radial base-offset and ratio to a reference reach without claiming six-axis reachability.

r = √(x² + y² + z²); rratio = r/Rref

When

Don’t

This calculates only a target radial distance and literal comparison to a user-entered reference reach. It is not a six-axis robot workspace, pose, orientation, collision, joint-limit, singularity, path, payload, reachability, safety, suitability, or approval result.