Calculate GD&T true position from nominal and actual X/Y coordinates per ASME Y14.5.
Simple 2D positional case only. This calculator compares diameter-based true position from X/Y coordinates. It does not account for datum shifts, feature size, bonus tolerance, or MMC/LMC modifiers.
Last updated: March 2026 | Geometric Dimensioning Tool
True Position (TP) is a Geometric Dimension and Tolerancing (GD&T) control that defines how far an actual feature (hole, point, surface) can deviate from its nominal position. It establishes a tolerance zone centered on the nominal coordinates.
True Position is superior to rectangular coordinate tolerances because it provides a circular tolerance zone, which is more realistic for features like holes. The formula TP = 2 × √(ΔX² + ΔY²) calculates the radial distance from nominal to actual position, then doubles it to define the full tolerance diameter per ASME Y14.5 standards.
TP = 2 × √(ΔX² + ΔY²)
Where ΔX = Actual X - Nominal X, ΔY = Actual Y - Nominal Y
True Position tolerances define circular tolerance zones (diameter = 2 × radial tolerance), which is more efficient than rectangular zones. A hole can deviate equally in all directions (360°) while staying within spec. This saves material in manufacturing while maintaining functionality.
Radial deviation is the measured distance from the nominal position to the actual position. True Position tolerance is 2 × radial deviation, defining the full tolerance diameter. For example, if max radial deviation is 0.010 in, the TP tolerance is 0.020 in diameter.
Use a CMM (Coordinate Measuring Machine), surface plate with dial indicators, or optical comparator to measure actual X/Y coordinates of the feature (e.g., hole center). Compare to nominal values, calculate radial deviation, then multiply by 2 to get TP. This calculator automates the computation.
Position (GD&T) can apply to rectangular slots, tabs, etc., but the tolerance zones change shape. For holes and circular features, circular zones are standard. For slots and rectangles, square or rectangular zones may be used with different formulas.
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