DEGREES()

Syntax. DEGREES(angle)

Definition. This function converts radians into degrees.

Argument

  • angle (required) The angle that you want to convert, in radians

Background. Angles are measured in degrees (°). A full circle has 360°. A degree is divided in 60 (angular) minutes (’), and a minute is divided in 60 (angular) seconds (’’).

For certain math and physics operations, an angle is also specified in radians. A full circle is 2π and the angle π is 180°.

In Excel, this function is important because all angle functions use radians (see Figure 16-14), and the results have to be converted into degrees (see the ACOS() and ASIN() functions).

Angle and radian.

Figure 16-14. Angle and radian.

Examples. For circles, the results are returned as radians (see the ATAN() and ATAN2() functions). The DEGREES() function converts the result into degrees:

=DEGREES(ACOS(7.5/15))

More examples for this function are:

  • =DEGREES(1) returns 57.296.

  • =DEGREES(0.785) returns 45.

  • =DEGREES(1.571) returns 90.

See Also

RADIANS()

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