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Workshop calculators for triangles, chamfers, countersink depth, sine bars, tapers and coordinates. Sketches, formulas and CNC machining examples.
In machining, trigonometry helps complete drawing dimensions, set up fixtures and convert measurements for a CNC program. First identify what each measurement represents: a length, a diameter change, an angle between faces or an angle to an axis. Then choose the tool that matches that geometry.
Use the right triangle when two faces meet at 90°. Use the oblique triangle for three sides or angles without a right angle. For a bevelled edge, the chamfer calculator distinguishes the legs from the length of the inclined face.
The countersink calculation relates cutter angle, radial width and depth. Drill point height distinguishes useful hole depth from total depth. For a conical surface, use taper to relate diameter change to axial length.
The sine bar calculates the height needed for an inclined setup. Polar to X/Y converts a position specified by radius and angle. Degrees, minutes and seconds conversion helps interpret drawing angles before entering them in a control or another calculator.
Length calculators support millimetres and inches. Use the same unit for every length in a calculation. Angles are entered in degrees; use the degrees, minutes and seconds converter for ° ′ ″ notation.
Check which combinations the chosen calculator accepts. Some inputs do not define a unique geometry: knowing all triangle angles, for example, does not establish its size. Find another dimension before assuming a value.
These are geometric results. Before using them, check the work zero, axis directions, radius or diameter programming and tool compensation. Each page explains the references relevant to its calculation.
Identify the faces or axes used to dimension the angle and compare them with the calculator's sketch. For a symmetric cone, the included angle between both sides is twice the half-angle measured from the axis.
Calculates X/Y coordinates of a bolt hole circle (PCD/BCD), preview, CSV and G-code for Fanuc G81/G83, Siemens CYCLE81/83 or Heidenhain CYCL 200.
Calculate cutting speed, RPM, feeds and pass time for milling, turning and drilling. Adjust values with linked scales and look up starting values by material.
Calculates indicative ISO 286 tolerances for shaft and hole, H7/g6, H7/h6, H7/k6 and H7/p6 fits with clearance, transition and interference graph.
