Final answer:
To convert 8π/9 radians to degrees, you multiply by 180°/π, which gives you 160°. This is because 2π radians is equivalent to 360°.
Step-by-step explanation:
The degree form for 8π/9 radians is calculated using the relationship between radians and degrees, where 2π radians is equal to 360°. To convert radians to degrees, multiply the radians by 180°/π.
To find the degree form of 8π/9 radians:
- Multiply 8π/9 by 180°/π.
- Cancel out the π in the numerator and denominator.
- Calculate 8×180°/9 to obtain the degree measurement.
Following these steps:
8π/9 radians × (180°/π) = (8×180°/9×1) = 160°.
Therefore, the degree form for 8π/9 radians is 160°.