Enter the radius of each balloon, the total number of balloons, and the height of the arch into the calculator to determine the total length of the balloon arch; this calculator can also evaluate any of the variables given the others are known.

Balloon Arch Formula

The following formula is used to calculate the total length of a balloon arch:

L = (2 * π * r * n) + (2 * h)

Variables:

  • L is the total length of the balloon arch
  • r is the radius of each balloon
  • n is the total number of balloons
  • h is the height of the arch

To calculate the total length of the balloon arch, multiply the radius of each balloon by 2π and by the total number of balloons. Add the product to twice the height of the arch.

What is a Balloon Arch?

A balloon arch is a decorative feature often used at events such as weddings, parties, and corporate functions. It is typically made by inflating numerous balloons, usually of varying colors and sizes, and attaching them to a flexible frame or string in an arch shape. The balloons can be arranged in a uniform pattern or in a more random, organic style, depending on the desired aesthetic. The arch can be used as a focal point, such as a stage backdrop or entranceway, or to frame a specific area, like a photo booth or dessert table. Balloon arches can be further embellished with elements like flowers, foliage, or themed decorations to match the event’s decor.

How to Calculate Balloon Arch?

The following steps outline how to calculate the Cost Recovery Ratio for a Balloon Arch:


  1. First, determine the total cost of materials and labor for the Balloon Arch ($).
  2. Next, determine the revenue generated from the Balloon Arch ($).
  3. Next, gather the formula from above = CRR = Revenue / Cost.
  4. Finally, calculate the Cost Recovery Ratio for the Balloon Arch.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge for a Balloon Arch:

Total cost of materials and labor ($) = 150

Revenue generated from the Balloon Arch ($) = 250