Enter the distance traveled along the circumference and the radius of the circle into the calculator to determine the angle in radians. This calculator can also evaluate any of the variables given the others are known.

Km To Radians Formula

R = D / r

Variables:

  • R is the angle in radians
  • D is the distance traveled along the circumference of the circle (in kilometers)
  • r is the radius of the circle (in kilometers)

To calculate the angle in radians, divide the distance traveled along the circumference of the circle by the radius of the circle. This formula assumes that the distance and the radius are both measured in the same unit (kilometers in this case).

What is Km To Radians?

Km to radians is a conversion from a unit of distance (kilometers) to a unit of angle (radians). This is not a direct conversion as they measure different things, but it can be done in the context of circular motion or rotation. For instance, if you know the radius of a circle, you can determine how many radians you have traveled by moving a certain distance (in kilometers) along the circumference of the circle. The formula used is radians = distance / radius.

How to Calculate Km To Radians?

The following steps outline how to calculate the Km To Radians using the formula: R = D / r


  1. First, determine the distance traveled along the circumference of the circle (D) in kilometers.
  2. Next, determine the radius of the circle (r) in kilometers.
  3. Next, gather the formula from above: R = D / r.
  4. Finally, calculate the angle in radians (R).
  5. 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.

Distance traveled along the circumference of the circle (D) = 50 km

Radius of the circle (r) = 10 km