tool life optimization for titanium machining. Get instant X (mm), Y (mm), or Radius, Angle for your machining parameters.
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Request a Proposal →What does a bad number cost you? Let's run the math on a typical job shop scenario. If your Polar/Rectangular Coordinate Converter is 15% too aggressive, you're not just buying more Kennametal end mills — you're paying for unexpected downtime, rework, and missed delivery dates.
| Premature Kyocera tool failures | $6,400/yr |
| Unplanned machine downtime | $12,200/yr |
| Rework / scrap parts | $8,700/yr |
| Excess Rego-Fix holder wear | $2,100/yr |
| Total Annual Loss | $29,400/yr |
Now flip the scenario. By optimizing Polar/Rectangular Coordinate Converter — using the manufacturer's recommended starting parameters for your specific Kennametal or Kyocera tool, verified on a Mahr presetter — you could recover nearly $30K annually. That's a new Mazak tool probe or a year's worth of Kennametal inserts.
The ROI is immediate. First part optimized, first day of savings.
Polar coordinates (radius r, angle θ) describe points by distance and direction from an origin. Rectangular coordinates (X, Y) describe points by perpendicular offsets. Converting between them is essential for bolt circles, rotary tables, and polar interpolation on CNC lathes.
Polar interpolation (G12.1 on Fanuc, G112 on some controls) lets you program face contouring on a lathe using X-C coordinates as if they were X-Y. The C-axis (rotary) becomes the Y-axis equivalent. This is used for hexagons, squares, and other prismatic features on turned parts.
Bolt circle coordinates are polar by nature: each hole is at a constant radius (D/2) at evenly spaced angles (360 deg /N). The bolt circle calculator uses polar-to-rectangular conversion to output X-Y coordinates.
Standard mathematics: angle measured counter-clockwise from the positive X-axis. In CNC, the zero-angle direction depends on the machine: on a VMC, 0 deg is typically the +X direction (to the right). Always verify your machine's convention.
Enter the radius and angle (from positive X-axis, CCW). The calculator gives the X and Y coordinates. For rectangular to polar, enter X and Y to get the radius and angle. Verify the quadrant -- arctan returns values between -90 deg and +90 deg .
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Use the calculator freely. If the result points to a tooling or process problem, we can source the exact carbide tooling you need from vetted factories in China. Compare factory-direct pricing.
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