Degrees and Radians Converter

What this calculator does

Convert angles between degrees and radians with the equivalent value shown immediately for trigonometry, geometry and programming work.

Worked example

How the calculation works

A complete rotation is 360 degrees or 2π radians. Degrees are converted to radians by multiplying by π ÷ 180; radians are converted to degrees by multiplying by 180 ÷ π.

When to use it

• Switch between calculator and programming-library angle units
• Check trigonometry and geometry exercises
• Prepare rotation values for graphics or animation code

Limits and checks

• Decimal results involving π are approximations.
• Confirm whether a software function expects degrees or radians.
• Angle conversion changes the unit, not the direction or rotation itself.

Frequently asked questions

Why do programming functions often use radians?

Radians express angles as arc length relative to radius and integrate naturally into calculus and numerical libraries.

How many radians are in 90 degrees?

Ninety degrees equals π ÷ 2 radians, approximately 1.5707963268.