The ° Command

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Command Summary

Converts an angle to degrees, if necessary.

Command Syntax

angle°

Menu Location

• Press 2nd MATH to enter the MATH popup menu.
• Press 2 to enter the Angle submenu.
• Press 1 to select °.

Calculator Compatibility

This command works on all calculators.

Token Size

2 bytes

The ° symbol used after an angle makes sure the angle is interpreted as being in degrees. If the calculator is already in degree mode, x° is equal to x; in radian mode, x° is equal to π*x/180; and in gradian mode, x° is equal to 10*x/9.

If you're using degree measure extensively in a program, it's a better idea to use setMode() to switch to degree mode and not worry about this. However, there are two reasons you might want to use °:

• If you need an angle in degrees only once or twice, don't bother changing the mode setting.
• In a function, you're forced to use °, since setMode() isn't valid in a function.

In radian mode:

:sin(30)
           sin(30)
:sin(30°)
           1/2
:180°
           π

In degree mode (no conversion is necessary, so no conversion is done):

:sin(30)
           1/2
:sin(30°)
           1/2
:180°
           180

Another possible use of ° is to write an angle in degrees, minutes, and seconds as x°y'z" (using the usual apostrophe and quote symbols) — this stands for x degrees, y minutes (equal to 1/60th of a degree) and z seconds (equal to 1/60th of a minute). There's no "degree/minute/second" mode setting, so an angle entered in this form will always be simplified: first to (x+y/60+z/3600)² degrees, and then (if necessary) converted to the correct angle measure. However, you can use ▶DMS to express output in this form.

Related Commands

• ^r (radian)
• ^G (gradian)
• ▶DD
• ▶DMS