Cm to Degrees Calculator

The Cm to Degrees Calculator helps you convert an arc length (in centimeters) and a circle's radius into the corresponding angle in degrees.

Calculation Formula

To convert the arc length and radius to degrees, the formula is:

\[ \text{Angle (degrees)} = \left(\frac{\text{Arc Length}}{\text{Radius}}\right) \times \left(\frac{180}{\pi}\right) \]

Example Calculation

For an arc length of 10 cm and a radius of 5 cm:

\[ \text{Angle (degrees)} = \left(\frac{10}{5}\right) \times \left(\frac{180}{\pi}\right) \approx 114.59 \text{ degrees} \]

Applications

This calculation is useful in fields like geometry, engineering, and physics, where understanding angles in degrees based on physical measurements is required.

FAQs

1. What is an arc?
   An arc is a segment of the circumference of a circle.

2. Why is converting to degrees important?
   Degrees are a commonly used unit for measuring angles, making it easier to relate the result to various practical applications.