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Length of Spiral Christmas Garland

Last modified by
on
Dec 2, 2024, 3:31:12 PM
Created by
on
Nov 25, 2020, 9:50:01 PM
L=HP(πD)2+P2
(L)Length of Object (e.g., railing)
(S)Spiral Spacing
(D)Diameter of Spirals
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2b73bcc7-2f68-11eb-8aae-bc764e203090

The Length of a Spiral Christmas Garland calculator computes the length of a Christmas Garland or Christmas Lights needed to wind around an object (e.g. railing).  This is based on the length covered, spacing between spirals and the diameter of the spirals.

INSTRUCTIONS: Choose units and enter the following:

  • (H) Length of Object (e.g., length of rail being wound in garland)
  • (P) Distance between Spirals
  • (D) Diameter of Spirals

Length of Garland (L): The calculator returns the length of the garland in feet.  However this can be automatically converted to compatible units via the pull-down menu.  /attachments/2b73bcc7-2f68-11eb-8aae-bc764e203090/SpiralGarland.jpeg

Christmas Decorating

Decorating for Christmas is fun and makes your home feel extra special.  A garland of evergreen wrapped around a staircase banister or guardrail is a nice touch and a great place to hang Christmas ornaments.  BUT, how long of a garland do you need to wrap your railing?  It's just some useful math.  This calculator will tell you how long your garland needs to be.

Thanks to Kelly and Sean McDonagh for recommending this calculator and providing the photo from their house! Sean also pointed out that this also works for Christmas lights!!!

The Math / Science

A spiral is a helix.  The Christmas garland wrapped around a pole or circular rail forms a helix.  

The formula for the length of a helix is:

      L=HP(πD)2+P2

where:

  • L = Length of Helix
  • H = Height of Helix
  • P = Pitch of Helix
  • D = Diameter of Helix

Note: The number of turns (n) is equal to (H/P)


Christmas CalculatorChristmas tree diagram with topper, lights and ornaments.

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  • Length of Christmas Tree Garland: Estimates the length of garland to be strung on a Christmas tree based on its height.
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Diagram of circular Christmas Tree Skirt   Diagram of octagon Christmas tree skirt


This equation, Length of Spiral Christmas Garland, references 1 page
This equation, Length of Spiral Christmas Garland, is used in 1 page
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