Bend Radius Calculator

The Bend Radius Calculator estimates the bend radius. Simply enter your bend angle and arc length to calculate your bend radius, arc length per degree, and bend circumference. This tool helps you determine the correct curvature for pipes, tubes, and conduits to ensure they fit properly in your space. This calculator also calculates arc length per degree and bend circumference equivalent.

Select the unit for your arc length and radius
Enter the angle of the bend (0.1 to 360)
Enter the length along the curve of the bend

This calculator is for informational purposes only. Verify results with appropriate professionals for important decisions.

What Is Bend Radius

Bend radius is the distance from the center of a circle to the centerline of the bend. It measures how sharply a pipe, tube, or sheet metal curves. A smaller radius means a tighter curve, while a larger radius means a gentler curve. This measurement is important for ensuring pipes fit in specific spaces without breaking or kinking.

How Bend Radius Is Calculated

Formula

Radius = (Arc Length × 180) ÷ (π × Bend Angle)

Where:

  • Radius = Bend radius (length unit)
  • Arc Length = Length along the curve
  • Bend Angle = Angle in degrees
  • π = 3.14159

To find the radius, we use the relationship between the arc length and the angle. The formula converts the angle from degrees to radians because math works better with radians for circles. It then divides the arc length by this radian value. This tells us how long the radius must be to create that specific curve length.

Why Bend Radius Matters

Knowing the correct bend radius helps you plan layouts for pipes and wires. It ensures that materials are not bent too sharply, which could cause damage. This calculation is useful for construction, plumbing, and electrical work.

Why Correct Bending Is Important for Safety

If a pipe or tube is bent too tightly, the material may weaken or collapse. This can lead to leaks or blockages in the system. Calculating the correct radius helps prevent these failures and ensures the system lasts a long time. It is generally recommended to follow manufacturer guidelines for minimum bend limits.

For Material Efficiency

Calculating the exact radius helps you cut materials to the right length. This reduces waste and saves money on supplies. When you know the precise measurements, you may avoid buying extra material just to be safe.

For Installation Planning

In tight spaces, knowing the bend radius is crucial. It helps installers know if a pipe will fit around corners or obstacles. Without this number, pipes might not fit as planned, requiring costly changes later.

Calculation logic verified using publicly available standards.

View our Accuracy & Reliability Framework →