Calculate and convert cable cross-section

Convert diameter to cross-sectional area or calculate voltage drop. The geometric conversion applies to solid, round conductors. For stranded copper conductors, use the nominal cross-section stated on the cable or datasheet. These results are a guide to cable selection.

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Quick Calculator

Quickly convert diameter and cross-section

Diameter ↔ cross-section

Convert the diameter in mm and area in mm² of a round conductor

mm
mm²
Tip: The formula A = (d² / 4) × π gives the area of a circle. The diameter of a stranded bundle does not give a reliable nominal cross-section. Refer to the cable markings or datasheet instead.

Suggested cross-section

mm²

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Why choose the next larger cross-section?

  • More safety margin — less risk of overload
  • Lower voltage drop — better performance over longer cable runs
  • Less heat build-up — longer service life
  • Allowance for future needs — reserve for future increases in power

Cross-section ↔ diameter: geometric circular area of a solid, round conductor

Geometric reference values. This table does not determine the nominal cross-section of a fine-stranded conductor.

Cross-section mm² Approx. diameter mm
1,51,38
2,51,78
42,26
62,76
103,57
164,51
255,64
356,68
507,98
709,44
9511,00
12012,36
15013,82

Calculate a minimum cross-section from cable length, current and voltage?

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Undersized cables can overheat and pose a fire risk

Diameter ≠ cross-section — mm² is what matters

A poor choice costs time and money

Important: This calculator is a guide to cable selection. Final sizing must always be checked and approved by a qualified electrician . If you are unsure, contact us — we will be happy to advise you.

Why mm² matters more than diameter

The cross-section in mm² is the actual area of conductor carrying current. A larger cross-section provides greater conductance and lower resistance.

For a solid, round conductor, the geometric area can be calculated from its diameter: A = (d² / 4) × π. When choosing a stranded cable, use the nominal cross-section stated on the cable or datasheet.

Remember: Doubling the diameter quadruples the cross-sectional area. This is why the mm² value matters when sizing a cable.

2× Durchmesser
= 4× Querschnitt
2,5mm² ⌀ 1,8mm
10mm² ⌀ 3,6mm

Calculating and converting cable cross-section

Correct cable sizing is a basic requirement for electrical installations. An undersized cable can heat up under load, cause power losses or, in the worst case, start a fire.

From diameter to cross-section

Use the formula A = (d² / 4) × π to convert the diameter of a solid, round conductor into its geometric area. The bundle diameter of fine-stranded copper is not suitable for this conversion. Find the nominal cross-section on the cable or datasheet. If it is missing, we can help identify the cable.

Calculate minimum cross-section

Our calculator helps with initial selection. Current, cable length and voltage are important inputs. Final selection must also account for installation method, ambient temperature, protective devices and permissible voltage drop. The applicable requirements, including DIN VDE 0298-4 or DIN 18015-1, depend on the installation. A general percentage limit alone is not sufficient for complete cable sizing.

Safety guidance

Our calculators help with initial selection. A qualified electrician must check final sizing for the specific installation. A larger cross-section alone does not confirm that the protective device or installation method is suitable. Contact us for advice on your application.

Frequently asked questions about the cable calculator

The diameter is specified in mm, the cross-section in mm². For a solid, circular conductor, the geometric formula A = π × d² / 4 applies. For a stranded wire, the diameter of the entire wire bundle must not be treated as a solid conductor. Use the specified nominal cross-section for cable selection.

If you would like to measure the cable cross-section, first check the cable imprint or the data sheet, for example, the specification H07V-K 16 mm². Measuring the diameter of the strand bundle with a caliper does not reliably determine the nominal cross-section. The geometric conversion using the circle formula applies to a solid, circular conductor. The sheath and insulation are not part of the conductor area.

Common nominal cross-sections are 0.5, 0.75, 1, 1.5, 2.5, 4, 6, 10, 16, 25, 35, 50, 70, 95, 120, 150, 185 and 240 mm². Depending on the cable type, other sizes are available. The calculator is based on the stored standard sizes. You can see which versions are available for order on the respective cable page.

If the result falls between two sizes stored in the calculator, the next largest size is displayed. This makes it easier to compare with the product range. The selection must also be compatible with the current-carrying capacity, the permissible voltage drop, the fuse protection, and the installation method.

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