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Angle Converter

Angle Converter from Gizcalc helps you estimate results quickly within the Unit Conversions category.

  • Instant results
  • Charts & tables
  • Save & compare
  • Private – runs in your browser
Converted Value —

Sample inputs are pre-filled so you can see a result quickly. Results are estimates only and may not be accurate because prices, interest rates, taxes, fees, fuel costs, tariffs, market returns, medical costs, and local rules can change. Please verify current values before making financial, tax, legal, medical, or business decisions.

Formula used

radians = degrees × π ÷ 180

  • Full turn = 360° = 2π rad = 400 gon = 6,400 mil

About the Angle Converter

What is the Angle Converter?

Maths uses radians, surveying uses degrees or gradians and astronomy uses arcseconds. This angle converter covers them all.

Enter an angle to see it in every unit.

How to use the Angle Converter

  1. Value (sample: 180)
  2. From (sample: Degree (°))
  3. To (sample: Radian (rad))
  4. Press Convert (results also refresh as you type). The result card shows the Converted Value, along with Result, Conversion factor and Reverse factor.

Formula used

radians = degrees × π ÷ 180

  • Full turn = 360° = 2π rad = 400 gon = 6,400 mil

Worked example

These are the sample values already filled in the calculator above, and the result it returns for them:

InputSample value
Value180
FromDegree (°)
ToRadian (rad)
ResultValue
Converted Value3.141593 rad
Result180 ° = 3.14159 rad
Conversion factor1 ° = 0.017453293 rad
Reverse factor1 rad = 57.29578 °

Tips for using the Angle Converter

  • Set your scientific calculator to the same mode (DEG or RAD) as your inputs.
  • 1° = 60 arcminutes = 3,600 arcseconds.

Frequently asked questions

About 57.2958°.

One four-hundredth of a full turn, so a right angle is 100 gon.

Calculus formulas such as d/dx sin x = cos x hold only in radians.