Enter the length of the rope or chain and the angle from vertical into the calculator to determine the swing radius. This calculator helps to estimate the horizontal distance from the pivot point to the farthest swing point.

Swing Radius Formula

The following formula is used to calculate the swing radius.

R = L * sin(θ)

Variables:

  • R is the swing radius (meters)
  • L is the length of the rope or chain (meters)
  • θ is the angle from vertical (degrees)

To calculate the swing radius, multiply the length of the rope or chain by the sine of the angle from vertical.

What is a Swing Radius?

Swing radius is the horizontal distance from the pivot point of a swing to the farthest point reached by the swing. It is a crucial measurement for ensuring safety in playgrounds, construction sites, and any scenario where swings or pendulums are involved. The swing radius helps to prevent collisions and determine the space needed for safe operation.

How to Calculate Swing Radius?

The following steps outline how to calculate the Swing Radius.


  1. First, determine the length of the rope or chain (L) in meters.
  2. Next, determine the angle from vertical (θ) in degrees.
  3. Convert the angle from degrees to radians by multiplying it by π/180.
  4. Use the formula R = L * sin(θ) to calculate the Swing Radius (R) in meters.
  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.

Length of Rope/Chain (L) = 5 meters

Angle from Vertical (θ) = 30 degrees