Angle Converter

Online Angle Converter

The Angle Converter is an accurate and fast online tool to convert angles between various measurement units such as degrees, radians, minutes, seconds, sign, octant, sextant, quadrant, revolution, gon, and mil. It is especially useful for engineers, mathematicians, navigators, and surveyors who deal with angular measurements in different contexts.

Supported Angle Units

• Degree (°) – Most common unit of angular measure
• Radian (rad) – SI unit of angular measurement
• Minute (′) – 1° = 60′
• Second (″) – 1′ = 60″
• Sign – An astrological unit (1 sign = 30°)
• Octant – 1 octant = 45°
• Sextant – 1 sextant = 60°
• Quadrant – 1 quadrant = 90°
• Revolution – 1 revolution = 360°
• Gon – 1 gon = 0.9° (also called gradian)
• Mil – Used in military aiming systems (1 mil = 1/6400 revolution)

How to Use the Angle Converter

1. Enter the angle value you want to convert.
2. Select the source unit (e.g., degree, radian).
3. Select the target unit to which you want to convert.
4. Click the "Convert" button to see the result instantly.

Conversion Example

Angle Converter
Value: 90
Convert From: Degree

Degree to Radian: 1.5707963134458
Degree to Degree: 90
Degree to Minutes: 5399.89200216
Degree to Seconds: 323999.97408
Degree to Sign: 3
Degree to Octant: 2
Degree to Sextant: 1.5
Degree to Quadrant: 1
Degree to Revolution: 0.25
Degree to Gon: 100
Degree to Mil: 1600
  

What Is an Angle?

An angle is a measure of the space between two intersecting lines or surfaces at or close to the point where they meet. It's measured in various units based on mathematical, geographical, astronomical, and mechanical contexts.

Unit Descriptions

• Degree (°): One full rotation is 360 degrees.
• Radian (rad): One full rotation is 2π radians (≈ 6.28319 rad).
• Minute (′): 1 degree = 60 minutes.
• Second (″): 1 minute = 60 seconds.
• Sign: Used in astrology, 1 sign = 30 degrees.
• Octant: Divides a circle into 8 parts (45° each).
• Sextant: Divides a circle into 6 parts (60° each).
• Quadrant: Divides a circle into 4 parts (90° each).
• Revolution: One full circle = 1 revolution = 360°.
• Gon: Metric angular unit; 1 gon = 0.9 degrees.
• Mil: Military unit; 1 revolution = 6400 mils.

Common Use Cases

• Mathematics and geometry calculations
• Engineering designs and CAD modeling
• Astronomy and celestial navigation
• Military targeting and artillery systems
• Surveying and land measurement
• Construction and architectural planning

Why Use Our Angle Converter?

• Instant and precise conversions
• Supports uncommon units like signs, octants, sextants
• Simple UI with fast calculations
• Mobile-optimized for field usage
• No app install – 100% free online tool

FAQs

How many degrees are in a radian?

There are approximately 57.2958 degrees in one radian.

What is a gon in angle measurement?

A gon (also known as a grad) divides a full circle into 400 units. 1 gon = 0.9 degrees.

How do I convert degrees to revolutions?

Divide the number of degrees by 360. For example, 90° = 0.25 revolutions.