Enter the arc length and chord length into the calculator to determine the delta radius. The delta radius is the radius of the circular segment defined by the arc and chord.
Delta Radius Formula
The following formula is used to calculate the delta radius:
R = (L^2) / (8 * C) + (C / 2)
Variables:
- R is the delta radius (units)
- L is the arc length (units)
- C is the chord length (units)
To calculate the delta radius, square the arc length, divide by eight times the chord length, and then add half the chord length to the result.
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.
How to Calculate Delta Radius?
The following steps outline how to calculate the Delta Radius.
- First, determine the arc length (L) in units.
- Next, determine the chord length (C) in units.
- Next, gather the formula from above = R = (L^2) / (8 * C) + (C / 2).
- Finally, calculate the Delta Radius (R) in units.
- 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.
arc length (L) = 10 units
chord length (C) = 5 units
