To calculate the Delta Radius (\(R\)):
\[ R = \frac{L^2}{8 \cdot C} + \frac{C}{2} \]
Where:
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.
Let's assume the following values:
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.
Let's assume the following values:
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.