# Calculating the approximate diameter of a multi-strand cable.

The following formulae can be used to calculate the approximate diameter of a multi-strand cable where both the diameter of an individual strand and the strand-count are known:

s = (πd^{2}) / 4 (to get the area of a single strand)

S = n.s (to get the approximate area of a defined number of strands)

(to get the approximate diameter of a defined number of strands)

where | s | = | area of a single strand |

d | = | diameter of a single strand | |

D | = | diameter of a defined number of strands | |

π | = | 3.14 | |

S | = | area of defined number of strands | |

n | = | number of strands |

As an example, let's assume we want to know the approximate diameter for a multi-strand cable having 41 strands of 0.20mm wire.

First we need to calculate the area of a single strand:

0.20 x 0.20 = 0.04

0.04 × 3.14 = 0.1256

0.1256 4 = 0.0314

The approximate area for 41 strands is then found:

41 × 0.0314 = 1.2874

Now knowing the approximate area, we can get the approximate diameter by using the formula:

(4 × 1.2874)

3.14 = 1.6400= 1.2806 (1.3mm Diameter)