2pie division 9 what is the answer in degree

To convert \(\frac{2\pi}{9}\) radians to degrees, we can use the formula:

\[
\text{Degrees} = \text{Radians} \times \frac{180}{\pi}
\]

Substitute \(\frac{2\pi}{9}\) for radians:

\[
\frac{2\pi}{9} \times \frac{180}{\pi} = \frac{2 \times 180}{9} = \frac{360}{9} = 40^\circ
\]

So, \(\frac{2\pi}{9}\) radians is equal to \(40^\circ\).

Would you like further details or have any questions?

Here are five related questions to explore further:

1. How do you convert degrees to radians?
2. What is the significance of \(\pi\) in radians and degrees?
3. How many degrees are in one radian?
4. What is \(\frac{\pi}{4}\) in degrees?
5. How do you convert between radians and degrees without a calculator?

**Tip:** Remember, multiplying by \(\frac{180}{\pi}\) converts radians to degrees, while multiplying by \(\frac{\pi}{180}\) converts degrees to radians.

Learn how to convert 2π/9 radians to degrees with a step-by-step solution. This problem explores trigonometric concepts, including converting radians to degrees using the formula Degrees = Radians × (180 / π). Suitable for students in Grades 9-11.

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