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What is the degree form for 8π/9 radians?

User DavAlPi
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1 Answer

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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:

  1. Multiply 8π/9 by 180°/π.
  2. Cancel out the π in the numerator and denominator.
  3. 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°.

User Dan Andreatta
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