KEVOS® MAKEOS · Geometry
Distance and Angle Between Two Points
How far apart are these two points, and at what angle?
Straight-line distance in 2D and 3D, the angle in the XY plane, the slope and the midpoint between two points.
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How this tool works
Inputs, units and where to find them
| Input | Unit | Typical source |
|---|---|---|
| Point 1 X | mm | X of the first point. |
| Point 1 Y | mm | Y of the first point. |
| Point 1 Z | mm | Z of the first point (0 for 2D). |
| Point 2 X | mm | X of the second point. |
| Point 2 Y | mm | Y of the second point. |
| Point 2 Z | mm | Z of the second point (0 for 2D). |
Method and formulas
- Distance = √(Δx² + Δy² + Δz²); plan distance = √(Δx² + Δy²).
- Angle = atan2(Δy, Δx) from +X; slope = Δy ÷ Δx.
- Midpoint = average of the coordinates.
- Example: (10, 20) to (70, 100) is 100 mm at 53.13°.
Limitations
- Straight-line (Euclidean) distance.
- Example values are illustrations. Replace them with values for your actual task.
Typical uses
- Check hole-to-hole distances from coordinates
- Find the angle of a line on a drawing
- Compute midpoints for layout
Who it is for
- Design engineers
- Toolmakers
- Estimators
What you get
- 3D and plan distance
- Angle in the XY plane
- Slope and midpoint
Interpreting the result
- Use the plan distance for drawings in one plane.
References
- Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 40–42. Topic reference; no source tables or recommended settings are reproduced.
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