Inches to Degrees Calculator

Formula

The formula to calculate the angle in degrees from inches is:

\[ D = \left( \frac{I}{2\pi R} \right) \times 360 \]

Where:

\(D\) is the angle in degrees
\(I\) is the length in inches
\(R\) is the radius of the circle in inches
\(\pi\) is a mathematical constant whose approximate value is 3.14159

What is Inches to Degrees?

Inches to degrees is a conversion method used in various fields such as mathematics, engineering, and physics. It involves converting a measurement given in inches into an equivalent value in degrees, typically used in the context of angles or rotations. This conversion requires additional information such as the radius of a circle or the length of an arc.

Example Calculation

Let's assume the following values:

Length in Inches (I) = 10 inches
Radius of Circle (R) = 5 inches

Using the formula:

\[ D = \left( \frac{10}{2 \times 3.14159 \times 5} \right) \times 360 \approx 114.59° \]

The angle in degrees is approximately 114.59°.