Angle Conversion Calculator
Knowing how to switch between different angle units—like degrees, radians, or turns—is a necessity in math, engineering, navigation, and countless fields. Manual calculations are both time-consuming and error-prone. That’s where a reliable Angle Conversion Calculator steps in to streamline the process with accuracy and zero stress.
What Does an Angle Conversion Calculator Do?
An Angle Conversion Calculator takes any value you plug in—whether it’s in degrees, radians, gradians, DMS (Degrees, Minutes, Seconds), turns, or more—and translates it into every other major angular unit. No need for complicated math or memorizing formulas. You enter a number and see its equivalents front and center.
Supported Units
- Degrees (°)
- Radians (rad)
- Gradians (gon)
- Turns (tr)
- π Radians (π rad)
- Minutes of arc (‘)
- Seconds of arc (“)
- Milliradians (mrad)
- Microradians (μrad)
- DMS (Degrees : Minutes : Seconds)
How Does the Angle Converter Work?
Switching between angle units often calls for lengthy conversions. Let’s take a closer look at how this calculator streamlines that job:
- Input Flexibility: Enter a value in any supported unit. For DMS, fill in degrees, minutes, and seconds separately.
- One-Click Conversion: Hit the convert button. Instantly, all angle formats fill out their respective spots.
- Easy Visual Comparison: Results show up in a neat, readable table, so you can compare one unit with another at a glance.
Why Multiple Angle Units?
Whether you’re working in geometry, plotting navigation routes, or calibrating instruments, angle measurements aren’t always in the same format. Degrees are standard in most math, while radians are the go-to for calculus and physics. Navigation sometimes relies on gradians, and optics can use milliradians or microradians for pinpoint accuracy.
Angle Conversion Table Example
| Unit | Example Value (45°) |
|---|---|
| Degrees (°) | 45.00000000 |
| Radians (rad) | 0.7853981634 |
| Gradians (gon) | 50.00000000 |
| Turns (tr) | 0.1250000000 |
| π radians (π rad) | 0.25π |
| Minutes of arc (‘) | 2700.000000 |
| Seconds of arc (“) | 162000.0000 |
| Milliradians (mrad) | 785.398163 |
| Microradians (μrad) | 785398.1634 |
| DMS (° ‘ “) | 45° 0′ 0.000″ |
Step-by-Step: Using the Angle Conversion Calculator
- Select Your Input Unit: Choose from the dropdown menu (degrees, radians, gon, tr, π radians, arcminutes, arcseconds, milliradians, microradians, or DMS).
- Enter Your Value: Input the angle. If you picked DMS, fill in degrees, minutes, and seconds in the corresponding fields.
- Click Convert: The full set of angle unit equivalents will appear in a table below—simple and fast.
Who Needs This Calculator?
- Students tackling trigonometry, calculus, or physics homework
- Engineers and architects designing precise layouts
- Surveyors and navigators converting between angle systems in the field
- Opticians or scientists working with mrad and μrad for detailed measurements
- Anyone who prefers math without the migraine
FAQ: Angle Conversion Questions, Solved
What is a radian?
It’s the angle made by taking the radius of a circle and wrapping it along the edge. One full circle is about 6.28319 radians.
How do I convert degrees to radians?
Multiply the number of degrees by π and divide by 180. Or use the calculator and just type in the number.
What’s the fastest way to convert between DMS and decimal degrees?
Use the DMS input fields, type in the three pieces, and you’ll instantly see decimal degrees and every other option. The calculator handles negative values, too.
Does the calculator show both large and small units?
Yes, you get everything from full turns down to microradians.