Enter the length in inches and the radius of the circle into the calculator to determine the angle in degrees. This calculator can also evaluate any of the variables given the others are known.

Inches To Degrees Formula

The following formula is used to calculate the conversion from inches to degrees.

D = (I / (2πR)) * 360


  • D is the angle in degreeI is the length in inches
  • R is the radius of the circle in inchesπ is a mathematical constant whose approximate value is 3.14159

To calculate the angle in degrees, divide the length in inches by the product of 2, π, and the radius of the circle in inches. Multiply the result by 360 to get the equivalent value in degrees.

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 is not straightforward as inches are units of length and degrees are units of angle. Therefore, it often requires additional information such as the radius of a circle or the length of an arc.

How to Calculate Inches To Degrees?

The following steps outline how to calculate the Inches To Degrees using the formula: D = (I / (2πR)) * 360

  1. First, determine the length in inches (I).
  2. Next, determine the radius of the circle in inches (R).
  3. Next, calculate the value of 2πR.
  4. Then, divide the length in inches (I) by the value of 2πR.
  5. Next, multiply the result by 360.
  6. Finally, calculate the angle in degrees (D).
  7. 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.

length in inches (I) = 10

radius of the circle in inches (R) = 5

π (mathematical constant) = 3.14159