Convert each radian measure to degrees.


8π/3

Verified step by step guidance

1. Recall the conversion formula between radians and degrees: \(\text{Degrees} = \text{Radians} \times \frac{180}{\pi}\).
2. Identify the given radian measure: \(\frac{8\pi}{3}\).
3. Substitute the radian value into the conversion formula: \(\frac{8\pi}{3} \times \frac{180}{\pi}\).
4. Simplify the expression by canceling out \(\pi\) in numerator and denominator: \(\frac{8}{3} \times 180\).
5. Multiply the remaining numbers to find the degree measure: \(\frac{8 \times 180}{3}\).

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. It is a standard unit in trigonometry and is related to degrees through a fixed conversion factor.

Degree Measure

Degrees are another unit for measuring angles, where a full circle is divided into 360 equal parts. Degrees are commonly used in many practical applications and are related to radians by the formula: 180 degrees equals π radians.

Conversion between Radians and Degrees

To convert radians to degrees, multiply the radian measure by 180/π. This conversion uses the equivalence of π radians to 180 degrees, allowing you to express any radian angle in degrees for easier interpretation.