## what are angles measured in?

### Angles are measured in degrees

Angles are measured in degrees. A degree is a unit of measurement that represents a portion of a complete circle. A complete circle is divided into 360 degrees. Each degree is further divided into 60 minutes, and each minute is divided into 60 seconds. So, for example, an angle of 45 degrees is one-eighth of a complete circle, while an angle of 180 degrees represents a straight line.

In addition to degrees, angles can also be measured in radians, which is another unit of angular measurement commonly used in mathematics and physics. Radians are based on the radius of a circle. A radian is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle. Since the circumference of a circle is equal to 2π times the radius, there are 2π radians in a complete circle. Radians are often preferred in mathematical calculations and trigonometry due to their simpler properties and relationships.

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