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Degrees to Radians Converter

Convert between degrees, radians and gradians.

Inputs

Results

Radians1.570796rad
Radians in multiples of π0.5
Gradians100grad

Chart

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How to use the degrees to radians calculator

Convert between degrees, radians and gradians. Enter angle in the field above; the radians, radians in multiples of π, gradians are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Radians (rad) = rad(d)
Radians in multiples of π = d / 180
Gradians (grad) = d × 10 / 9

Variables

  • d — Angle (°)

Worked example

With angle = 90 °, the calculator gives radians ≈ 1.570796 rad; radians in multiples of π ≈ 0.5; gradians ≈ 100 grad.

Frequently asked questions

What is the formula for the degrees to radians calculation?

Radians (rad) = rad(d). Radians in multiples of π = d / 180. Gradians (grad) = d × 10 / 9. Here d is angle (°).

What inputs do I need for the degrees to radians converter calculator?

You need angle in °. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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