Convert each radian measure to degrees.


-11π/18

Verified step by step guidance

1. Recall the conversion formula between radians and degrees: \(\text{Degrees} = \text{Radians} \times \dfrac{180}{\pi}\).
2. Identify the given radian measure: \(-\dfrac{11\pi}{18}\).
3. Substitute the radian value into the conversion formula: \(-\dfrac{11\pi}{18} \times \dfrac{180}{\pi}\).
4. Simplify the expression by canceling \(\pi\) in numerator and denominator: \(-\dfrac{11}{18} \times 180\).
5. Multiply the numbers to find the degree measure (do not calculate the final value here, just set up the multiplication).

Key Concepts

Radian Measure

A radian is a unit of angular measure based on the radius of a circle. One radian is the angle created when the arc length equals the radius. Radians provide a natural way to measure angles in terms of the circle's geometry.

Degree Measure

Degrees are a common unit for measuring angles, where a full circle is divided into 360 equal parts. Each degree represents 1/360 of a full rotation, making it intuitive for everyday use and many practical applications.

Conversion between Radians and Degrees

To convert radians to degrees, multiply the radian value by 180/π. This ratio comes from the fact that π radians equal 180 degrees. For example, to convert -11π/18 radians, multiply by 180/π to find the equivalent degree measure.