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Power of 10 notation can be used as follows: 3.2×10

The natural unit for measuring angles is the radian, which is derived from the formula for

the circumference *c* of a circle: *c* = 2** ***π* × *r*, where *r* is the radius. If *r* = 1, then *c* = 2** ***π*,

so the radian is defined such that a circle has 2** ***π* radians. It also has 360 degrees.

1 radian = 360 / 2** ***π* = 180 / *π* =57.295779513082320876798154814106 degrees

1 degree = 0.017453292519943295769236907684886 radians

1 arcmin = 0.000290888208665722 radians

1 arcsec = 0.00000484813681109536 radians.

Angle |
Degrees |
Part of Pi |
in numbers |

90° | π/2 | 1.570796327 | |

60° | π/3 | 1.047197551 | |

45° | π/4 | 0.785398163 | |

30° | π/6 | 0.523598775 |

**Formulas**

**Conversion from radians (RAD) to degrees (DEG):**

DEG = RAD × 180 / *π* **~** 57.296 × RAD

**Conversion from degrees (DEG) to radians (RAD):**

RAD = DEG × *π* / 180 **~** 0.01745 × DEG

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