Convert each radian measure to degrees.


-11π/18

Verified step by step guidance

1. Understand the relationship between radians and degrees: 1 radian = 180/π degrees.
2. Multiply the given radian measure by the conversion factor to convert it to degrees.
3. The given radian measure is \(-\frac{11\pi}{18}\).
4. Multiply \(-\frac{11\pi}{18}\) by \(\frac{180}{\pi}\) to convert to degrees.
5. Simplify the expression by canceling out \(\pi\) and performing the multiplication.

Key Concepts

Radian and Degree Measures

Radians and degrees are two units for measuring angles. A full circle is 360 degrees or 2π radians. To convert between these units, the relationship is established where 180 degrees equals π radians, allowing for straightforward conversions.

Conversion Formula

The conversion from radians to degrees can be performed using the formula: degrees = radians × (180/π). This formula provides a direct method to translate any radian measure into its equivalent degree measure, facilitating easier calculations in trigonometry.

Negative Angles

Negative angles indicate a rotation in the clockwise direction. When converting negative radian measures to degrees, the same conversion formula applies, but the resulting degree measure will also be negative, reflecting the direction of the angle's rotation.