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How many degrees is start fraction, 8, pi, divided by, 9, end fraction 98π​ radians?

Question

How many degrees is 8π9 \frac{8\pi}{9} radians?

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Solution

The question seems to be asking for the conversion of a radian measurement to degrees. The measurement given is 8π/9 radians.

Here are the steps to convert radians to degrees:

  1. Identify the radian measurement. In this case, it's 8π/9 radians.

  2. Use the conversion ratio, which is 180 degrees = π radians.

  3. Set up the conversion so the radian will cancel out. You should multiply 8π/9 by 180/π.

  4. When you do the multiplication, the π in the numerator and denominator will cancel out.

  5. You're then left with (8/9)*180, which equals 160 degrees.

So, 8π/9 radians is equal to 160 degrees.

This problem has been solved

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