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# Learn how to calculate Helix Circumference, Length, Unit Rise, and Handrail Radius – Tutorial

## How to calculate Helix Circumference, Length, Unit Rise, and Handrail Radius - Definition, Formula and Example

##### Definition:

Helix is a type of curve in three-dimensional space formed by a straight line drawn on a plane. The curve can become a straight line if the surface were unrolled into a plane, with the distance to the apex is an exponential function of the angle indicating direction from the axis. Helix is also called as 'Helices', 'helixes'.

##### Formula:
Circumference = 2πr h = (height of helix x 360) / angle Length = √h2 + circumference2 Unit Rise = h / circumference Handrail Radius = (4π2r2 + h2) / 4π2r
###### where,

π = 3.1415926 r = Radius h = Height required for Helix to complete one revolution

##### Example :

For example, consider that an antenna is constructed in XF7 using the helix script. It will expand along the Z-axis and will have a radius of 50 cm. In addition, height of the helix curve is 2 cm and the angle made by the curve is 360.Calculate the circumference, length, handrail radius of the curve.

##### Given,

Radius = 50, Height = 2, Angle = 360

##### To Find,

Circumference Height (h) Length Unit Rise Handrail Radius

##### Solution:

Let us calculate the circumference, length, handrail radius of the helix curve.

###### Step 1:

Let us first calculate the value of circumference.

 Circumference = 2πr = (2 x 3.1415926 x 50) = 314.15926
###### Step 2:

Calculate the value of height by substituting the values in the formula,

 h = (height of helix x 360) / angle = (2 x 360) / 360 = 2
###### Step 3:

Calculate the length of helix by substituting the values in the formula,

 Length = √h2 + circumference2 = √22 + 314.159262 = √4 + 98696.04064 = 314.1656
###### Step 4:

Find the value of Unit Rise.

 Unit Rise = h / circumference = 2 / 314.15926 = 0.00637
###### Step 5:

Finally, let us calculate the handrail radius of the helix curve,

 Handrail Radius = (4π2r2 + h2) / 4π2r = ((4 x 3.14159262 x 502) + 22) / (4 x 3.14159262 x 50)) = (98696.040643748 + 4) / 1973.920812875) = 50.00203