How the conversion works
Degrees divide a full turn into 360 equal parts. Radians measure the same turn as 2π, so every degree value can be converted by multiplying by π / 180.
What the visual teaches
The unit-circle board shows the same angle as a sweep from the positive vertical reference. Common benchmark angles such as 30°, 45°, 90°, and 180° stand out quickly when you compare the exact π form with the decimal result.
When to use this tool
Use it for trigonometry homework, calculus setup, physics formulas, or any graphing workflow where radians are the expected angle unit.