In Exercises 21–28, convert each angle in radians to degrees. -3𝜋

Key Concepts

Radians and Degrees

Radians and degrees are two units for measuring angles. A full circle is 360 degrees, which is equivalent to 2π radians. To convert between these units, the relationship can be used: 180 degrees equals π radians. Understanding this relationship is essential for converting angles accurately.

Conversion Formula

The conversion from radians to degrees can be performed using the formula: degrees = radians × (180/π). This formula allows for straightforward calculations when converting any angle expressed in radians to its degree equivalent, ensuring clarity in angular measurements.

Negative Angles

Negative angles indicate a rotation in the clockwise direction. When converting a negative radian measure, such as -3π, to degrees, the same conversion principles apply. Recognizing the significance of negative angles is important for understanding their position and direction in the coordinate system.