How many radians are in one degree?

One degree equals 0.017453 rad. The formula is rad = deg × 0.017453.

How do I convert degrees to radians?

Multiply the value in degrees by 0.017453. For example, 100 × 0.017453 = 1.745329 — so 100 deg = 1.745329 rad.

How many degrees are in one radian?

One radian equals 57.29578 deg.

Pair · linear · factor 0.017453

degrees to radians

degrad

Active unit

degrees · ≈ 1.75 rad (base)

All units

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degdegree100

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Frequently asked questions

A glowing emerald protractor and compass rose graduated to 360 degrees turning into an arc of the nautical mile over a globe, against a cosmic nebula in violet and magenta

Angle

Why does a full circle have 360 degrees? From navigation to pizza

The entire physical world was decimalized — except the angle. A full turn is still 360 degrees, not a round 100 or 1000. That is no accident and no superstition: behind 360 lie exceptional divisibility, thousands of years of astronomy, the definition of the nautical mile, and a theorem named after pizza.

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