Enter the distance and diameter into the calculator to determine the angle in degrees. This calculator can also evaluate any of the variables given the others are known.

Cm To Degrees Formula

The following formula can be used to calculate the conversion from centimeters to degrees in the context of circular measurements.

θ = (d / πD) * 360


  • θ is the angle in degrees
  • d is the distance in centimeters
  • D is the diameter of the circle in centimeters π is a constant approximately equal to 3.14159

To calculate the angle in degrees, divide the distance in centimeters by the product of π and the diameter of the circle in centimeters. Multiply the result by 360 to get the angle in degrees.

What is Cm To Degrees?

Cm to Degrees is not a standard conversion as they are two different types of measurements. Centimeters (cm) are units of length in the metric system, while degrees are units of measurement for angles or temperature (Celsius or Fahrenheit). However, in certain contexts such as map reading or circular measurements, one might convert a distance (cm) into an angle (degrees) based on specific parameters or scales. This usually requires additional information like radius or diameter.

How to Calculate Cm To Degrees?

The following steps outline how to calculate the angle in degrees (θ) using the formula θ = (d / πD) * 360.

  1. First, determine the distance in centimeters (d).
  2. Next, determine the diameter of the circle in centimeters (D).
  3. Next, calculate the value of π (approximately equal to 3.14159).
  4. Then, substitute the values of d, D, and π into the formula θ = (d / πD) * 360.
  5. Finally, calculate the angle in degrees (θ).
  6. After inserting the variables and calculating the result, check your answer with a calculator.

Example Problem:

Use the following variables as an example problem to test your knowledge:

distance (d) = 50 cm

diameter of the circle (D) = 10 cm

π (constant) = 3.14159