How do I convert degrees to radians by hand?

Use rad = ° × 0.0174532925. The step-by-step panel shows the same calculation with your own numbers substituted in.

Is the answer exact or rounded?

The calculation itself uses the full stored precision of the defined factor. Only the displayed figure is rounded, and the page also shows a shorter everyday value beside the full one.

Can I check the conversion the other way round?

Yes. The result panel converts the answer straight back into your original unit so you can confirm nothing was lost.

Can I download the result?

Yes — the PDF button produces a branded report with your input, the answer, the formula and the full working.

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Unit Conversions & Measures

Degrees to Radians Converter

Convert degrees to radians with the exact factor, the working shown step by step and a plain-English explanation.

Your inputs

Change any value to update the result instantly.

Unit Conversions & Measures

Value in degrees

Radians

1.745329 rad

Conversion factor

1 ° = 0.0174532925 rad

Value in radian (internal base unit)

1.745329 rad

Reverse conversion check

1.745329 rad = 100 °

Rounded for everyday use

1.75 rad

What this calculator does

Converts a measurement given in degrees into radians using the defined conversion factor.

What your result means

The same quantity expressed in rad instead of °. Nothing about the measurement itself changes.

Formula and working

rad = ° × 0.0174532925

1
Start with your value
100 °
2
Convert to radian
100 × 0.0174532925 = 1.745329 rad
3
Convert into radians
1.745329 ÷ 1 = 1.745329 rad
4
Result
100 ° = 1.745329 rad

Frequently asked questions

Symbols and assumptions

°: Input unit — degree
rad: Output unit — radian

• Both units measure angle, so the physical quantity is unchanged by the conversion.
• The relationship is exactly linear: 1 ° = 0.0174532925 rad.
• Values are converted through the SI base unit for this quantity rather than pair by pair.

Sources and review

Reviewed 2026-09-22 · Next review 2027-09-22

The International System of Units (SI Brochure), 9th editionBureau International des Poids et Mesures · 9th edition Guide for the Use of the International System of Units (SI), NIST Special Publication 811 — conversion factorsNational Institute of Standards and Technology · 2008 edition

• A unit conversion changes how a number is expressed, not how it was measured — the answer can never be more accurate than the value entered.
• Displayed figures are rounded for readability; the full stored precision of the rad value is used in every onward calculation.

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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