👤 By whycalculator Team 📅 Last Updated April 11, 2026
Degree to Cm Calculator
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Want to convert degrees to centimeters effortlessly? This calculator simplifies the process. So, input an angle and radius to get the arc length or linear deflection in centimeters. Whether you're working with radians or degrees, the tool handles the conversions for you, providing quick and accurate results.
How to Convert Degrees to cm?
To convert degree to cm use the following formula:
s = θ × π/180 × r
Where:
- s = Arc length (cm)
- θ = Angle in degrees
- r = Radius of the circle (cm)
Example 1
Convert 75 degrees to cm if the radius is 10 cm.
Solution:
s = θ × π/180 × r
s = 75 × π/180 × 10
s = 13.09 cm
Example 2
Convert 45 degrees to cm for a circle with a radius of 20 cm.
Solution:
s = 45 × π/180 × 20
s = 15.71 cm
| Angle (°) | Deflection (cm) |
|---|---|
| 0 | 0.00 |
| 3 | 2.62 |
| 6 | 5.21 |
| 9 | 7.76 |
| 12 | 10.34 |
| 15 | 12.93 |
| 18 | 15.52 |
| 21 | 18.08 |
| 24 | 20.61 |
| 27 | 23.09 |
| 30 | 25.50 |
| 33 | 27.83 |
| 36 | 30.06 |
| 39 | 32.19 |
| 42 | 34.19 |
| 45 | 36.06 |
| 48 | 37.78 |
| 51 | 39.34 |
| 54 | 40.73 |
| 57 | 41.95 |
| 60 | 43.00 |
| 63 | 43.87 |
| 66 | 44.56 |
| 69 | 45.08 |
| 72 | 45.43 |
| 75 | 45.61 |
| 78 | 45.62 |
| 81 | 45.47 |
| 84 | 45.16 |
| 87 | 44.69 |
| 90 | 44.06 |
| 93 | 43.28 |
| 96 | 42.36 |
| 99 | 41.30 |
| 102 | 40.12 |
| 105 | 38.82 |
| 108 | 37.42 |
| 111 | 35.92 |
| 114 | 34.34 |
| 117 | 32.69 |
| 120 | 31.00 |
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FAQ:
Is there a maximum degree I can convert to cm?
There’s no limit, but angles greater than 360° represent more than one full circle.
Can I convert degrees to cm without knowing the radius?
No, the radius is essential for conversion. The formula depends on the arc length, which depends on both the angle and the radius.