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Convert Degree to Second

Please provide values below to convert degree [°] to second ["], or vice versa.

From: degree
To: second


Definition: A degree (symbol: °) is a unit of angular measurement defined by a full rotation of 360 degrees. Because a full rotation equals 2π radians, one degree is equivalent to π/180 radians. Although a degree is not an SI (International System of Units) unit, it is an accepted unit within the SI brochure.

History/origin: The origin of the degree as a unit of rotation and angles is not clear. One of the theories suggests that 360 is readily divisible, has 24 divisors, and is divisible by every number from one to ten, except for seven, making the number 360 a versatile option for use as an angle measure.

Current use: The degree is widely used when referencing angular measures. While the degree might be more prevalent in common usage, and many people have a more practical understanding of angles in terms of degrees, the radian is the preferred measurement of angle for most math applications. This is because the radian is based on the number π which is heavily used throughout mathematics, while the degree is largely based on the arbitrary choice of 360 degrees dividing a circle.


Definition: A second is the base unit of time in the International System of Units (SI). It is defined based on cesium frequency, ΔνC, "by taking the unperturbed ground-state hyperfine transition frequency of the caesium-133 atom to be 9,192,632,770 when expressed in hertz, which is equal to s-1." This definition was adopted in late 2018, and is largely the same as the previous definition, except that the conditions are more rigorously defined.

History/origin: Unlike many units that have had numerous definitions throughout history, the second has only had four different definitions.

The second was historically defined as 1/86400 of a day in 1832, which was based on the definition of a day as the approximate amount of time required for the Earth to complete a full rotation cycle relative to the sun.

The second was also defined as a fraction of an extrapolated year in the late 1940s with the advent of quartz crystal oscillator clocks. This resulted in a second defined as "1/31,556,925.9747 of the tropical year for 1900 January 0 at 12 hours ephemeris time," in 1956. This definition was adopted as part of SI in 1960.

In 1967, the second was defined exactly as "9,192,631,770 times the period of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom." This definition has since been updated as of late 2018 to be more rigorously defined, but otherwise, is effectively the same. This new rigor does not affect how the second is used in everyday life.

Current use: As the SI base unit of time, the second and its multiples are ubiquitous. There are few, if any, modern applications in which time is measured in a form other than the second and its multiples.

Degree to Second Conversion Table

Degree [°]Second ["]
0.01 °36 "
0.1 °360 "
1 °3600 "
2 °7200 "
3 °10800 "
5 °18000 "
10 °36000 "
20 °72000 "
50 °180000 "
100 °360000 "
1000 °3600000 "

How to Convert Degree to Second

1 ° = 3600 "
1 " = 0.0002777778 °

Example: convert 15 ° to ":
15 ° = 15 × 3600 " = 54000 "

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