Processing math: 100%

Delta Radius Calculator

Formula

To calculate the Delta Radius ( $R$ ):

$R = \frac{L^2}{8 \cdot C} + \frac{C}{2}$

Where:

$R$ is the Delta Radius (units)
$L$ is the Arc Length (units)
$C$ is the Chord Length (units)

What is a Delta Radius?

The delta radius is the radius of the circle that would be formed if the arc and chord were part of a complete circle. It is a measure of the curvature of the segment and is used in various fields such as engineering, architecture, and mathematics to describe the properties of a circular segment.

Example Calculation 1

Let's assume the following values:

Arc Length ( $L$ ) = 10 units
Chord Length ( $C$ ) = 5 units

Using the formula:

$R = \frac{10^2}{8 \cdot 5} + \frac{5}{2} = \frac{100}{40} + 2.5 = 5 + 2.5 = 7.5$

The Delta Radius is 7.5 units.

Example Calculation 2

Let's assume the following values:

Arc Length ( $L$ ) = 15 units
Chord Length ( $C$ ) = 6 units

Using the formula:

$R = \frac{15^2}{8 \cdot 6} + \frac{6}{2} = \frac{225}{48} + 3 = 4.69 + 3 = 7.69$

The Delta Radius is approximately 7.69 units.