Cm To Degrees Calculator

First, divide the length in centimeters by the product of π and the circle’s diameter. Multiply the result by 360 to get the angle in degrees.

Cm To Degrees Calculator

Enter any 2 values to calculate the missing variable

Distance (cm) Diameter (cm) Angle (degrees)

Calculate Reset

A Cm to Degrees Calculator helps convert a length in centimeters along a circle’s circumference into an angle in degrees. This tool is essential for converting linear measurements to angular ones in geometry and physics.

Formula:

$$\theta = \left( \frac{d}{\pi D} \right) \times 360$$

Where:

Variable	Meaning
$\theta$	Angle in degrees
$d$	Length in centimeters (cm)
$D$	Diameter of the circle (cm)

Example Calculation:

Let’s say you have a length (d) of 10 cm along the circumference of a circle with a diameter (D) of 50 cm. Using the formula, we can calculate the angle ($\theta$) in degrees.

$$\theta = \left( \frac{10}{\pi \times 50} \right) \times 360 = \left( \frac{10}{157.08} \right) \times 360 = 22.918 \, \text{degrees}$$

Step	Calculation
Length (d)	10 cm
Diameter (D)	50 cm
Angle ($\theta$)	$\left(\frac{10}{\pi \times 50}\right)\times 360=22.918\text{degrees}$

Answer: The angle is approximately 22.92 degrees.

What is a Cm to Degrees Calculator?

A Cm to Degrees Calculator is a tool used to convert a length measured in centimeters along the circumference of a circle into an angle in degrees.

The formula θ = (d/πD) × 360 helps determine the angular measure based on the length along the circle’s edge. This is useful in fields like geometry and physics where you need to relate linear distance to angular measurements.

This calculator helps answer questions like “how to turn cm into degrees?” and “how many radians are in 1 cm?”, making it an essential tool for angle conversion. It can also be applied in real-world scenarios, such as measuring angles for construction, art, or navigation.