Measuring Angles in Degrees

Measuring angles in degrees means dividing a circle (a full rotation) into 360 equal parts.

A degree is one 360th of a full rotation. $$ 1° = \frac{1}{360} $$

The degree symbol is *. For example, 45°.

Each degree is further divided into 60 equal parts called minutes, which are usually denoted by a prime symbol '.

$$ 1° = 60' $$

Each minute is further divided into 60 equal parts called seconds, represented by a double prime symbol ''.

$$ 1' = 60'' $$

Example: To represent an angle of 45 degrees, 15 minutes, and 32 seconds, you write $$ 45° \ 15' \ 32'' $$

And so on.