Sign to Degree Converter
Enter the value that you want to convert sign (sig) to degree (°) or degree to sign.
1 sign = 30.0000000 degree
Formula: degree = sign value × 30.0000000
SIG to ° — sign to degree
10 sign = 300.00000 degree
Popular Degree Converters:
Why Convert Sign to Degree?
Understanding the Sign
Sign (sig) is a unit of degree measurement. 1 sign is equal to 30.0000000 degree.
What is Degree?
Dating back to ancient Babylonian astronomy, the degree divides a full rotation into 360 equal parts.
The Babylonians used a base-60 number system and observed that the sun moved approximately one degree per day across the sky over a year. The 360° circle became universal in navigation, surveying, architecture, and education. Degrees remain the standard angle unit in everyday life — from compass bearings and map coordinates to smartphone screen rotation and camera field-of-view specifications.
Why Angle Conversions Matter
Angle conversions bridge the gap between everyday measurement (degrees) and mathematical computation (radians). A mechanical engineer designing a robotic arm needs radians for inverse kinematics. A pilot reads compass headings in degrees. A surveyor might work in gradians. Game developers convert between degrees (artist-friendly) and radians (GPU shaders) hundreds of times per frame. Understanding these conversions is essential across STEM fields, navigation, and digital media production.
sign to degree metric conversion table
| 0.01 sig | = | 0.30000 ° |
| 0.1 sig | = | 3.00000 ° |
| 1 sig | = | 30.00000 ° |
| 2 sig | = | 60.00000 ° |
| 3 sig | = | 90.00000 ° |
| 4 sig | = | 120.00000 ° |
| 5 sig | = | 150.00000 ° |
| 6 sig | = | 180.00000 ° |
| 7 sig | = | 210.00000 ° |
| 8 sig | = | 240.00000 ° |
| 9 sig | = | 270.00000 ° |
| 10 sig | = | 300.00000 ° |
| 11 sig | = | 330.00000 ° |
| 12 sig | = | 360.00000 ° |
| 13 sig | = | 390.00000 ° |
| 14 sig | = | 420.00000 ° |
| 15 sig | = | 450.00000 ° |
| 16 sig | = | 480.00000 ° |
| 17 sig | = | 510.00000 ° |
| 18 sig | = | 540.00000 ° |
| 19 sig | = | 570.00000 ° |
| 20 sig | = | 600.00000 ° |
| 30 sig | = | 900.00000 ° |
| 40 sig | = | 1200.00000 ° |
| 50 sig | = | 1500.00000 ° |
| 60 sig | = | 1800.00000 ° |
| 70 sig | = | 2100.00000 ° |
| 80 sig | = | 2400.00000 ° |
| 90 sig | = | 2700.00000 ° |
| 100 sig | = | 3000.00000 ° |
| 200 sig | = | 6000.00000 ° |
| 300 sig | = | 9000.00000 ° |
| 400 sig | = | 12000.00000 ° |
| 500 sig | = | 15000.00000 ° |
| 600 sig | = | 18000.00000 ° |
| 700 sig | = | 21000.00000 ° |
| 800 sig | = | 24000.00000 ° |
| 900 sig | = | 27000.00000 ° |
| 1000 sig | = | 30000.00000 ° |
How to Convert SIG to ° (Sign to Degree)?
We can convert sign to degree by using an example.
Example:
Convert 20 Sign to Degree?
We know 1 Sign = 30.0000000 degree; 1 Degree = 0.0333333 sign.
20 sign = ___°
20 × 30.0000000 = 600.00000 ° (we know 1 sign = 30.0000000 degree)
Answer:
20 sign = 600.00000 degree
Converting Zodiac Signs to Degrees
In astrology and ancient astronomy, a "sign" equals 30° — one-twelfth of the zodiac circle:
- Write down the number of signs.
- Multiply by 30.
- The result is the angle in degrees.
Solved Examples
Question 1: Convert 4 signs to degrees.
Solution:
Degrees = 4 × 30
= 120
Answer: 4 signs = 120°
Question 2: The ecliptic longitude is 7.5 signs. Convert to degrees.
Solution:
Degrees = 7.5 × 30
= 225
Answer: 7.5 signs = 225°
Question 3: Convert 1 sign to degrees.
Solution:
Degrees = 1 × 30
= 30
Answer: 1 sign = 30° (width of one zodiac constellation)
Practice Questions
Try solving these on your own to test your understanding:
- Convert 6 signs to degrees. (Answer: 180°)
- How many degrees in 10 signs? (Answer: 300°)
- Express 2.5 signs in degrees. (Answer: 75°)
Signs in Ancient Astronomy
The Babylonians divided the ecliptic (the Sun's apparent path) into 12 equal signs of 30° each around 500 BCE. This system predates the zodiac constellations being assigned to those sectors. Hellenistic astronomers like Ptolemy used signs as angular units in astronomical calculations. Today, "sign" as an angular unit survives mainly in astrological contexts and historical astronomy texts.
Key Takeaways
- Multiply signs by 30 to get degrees.
- 1 sign = 30° = one-twelfth of a circle.
- 12 signs = 360° (complete zodiac).
- Historical unit from Babylonian astronomy.
Sign to Degree Conversion Formula
degree = sign × 30.0000000
1 sign = 30.0000000 degree
1 degree = 0.0333333 sign
Reverse: sign = degree × 0.0333333
Frequently Asked Questions
How many degree are in 1 sign?
There are 30.0000000 degree in 1 sign. To convert sign to degree, multiply the value by 30.0000000.
How do I convert sign to degree?
Multiply your sign value by 30.0000000 to get the equivalent in degree. For example, 5 sign = 5 × 30.0000000 = 150.00000 degree.
How do I convert degree to sign?
Multiply your degree value by 0.0333333 to get the equivalent in sign. Alternatively, divide by 30.0000000.
What is 10 sign in degree?
10 sign is equal to 300.00000 degree.
What is 100 sign in degree?
100 sign is equal to 3000.00000 degree.