Reference · Math

math.degrees

math.degrees(num) -> float

What it does

An angle in radians as degrees, a float, as Python's math.degrees: the number times 180 / pi. The trigonometric functions work in radians, so this turns their answers into degrees; math.radians goes the other way.

Examples

print(math.degrees(math.pi), math.degrees(math.pi / 2), math.degrees(1))print(math.degrees(math.atan2(1, 1)), math.degrees(math.acos(-1)))

180.0 90.0 57.2957795130823245.0 180.0

Edge cases

• Nothing is wrapped: 4 * pi is 720.0, not 0.
• The answer is a float even for 0.
• Round trips are exact in the usual cases: math.degrees(math.radians(90)) is 90.0; computed angles can miss by a digit, as math.asin(0.5) does.
• inf gives inf, NaN gives NaN; neither is an error.

print(math.degrees(4 * math.pi), math.degrees(-math.pi / 4))print(math.degrees(0))print(math.degrees(math.radians(90)), math.degrees(math.asin(0.5)))print(math.degrees(math.inf), math.degrees(math.nan))

720.0 -45.00.090.0 30.000000000000004inf NaN

Errors

A value that is not a number is a runtime error, not an error value: it stops the request. Text from a query or a form is converted first with float; a decimal too.

print(math.degrees("3.14"))

line 1: `math.degrees` expects a number as argument 1, got str

print(math.degrees(float("3.141592653589793")))

180.0

Chaining

print(1 | math.atan | math.degrees)print([0, math.pi / 6, math.pi / 2] | map(math.degrees))

45.0[0.0, 29.999999999999996, 90.0]

See also

math.radians, math.atan2, math.asin, math.acos

Edit this page on GitHub · every example's output was made by running it (tools/refcheck.mjs) · questions on Discord or r/quillo