Math Problem Statement

2pie division 9 what is the answer in degree

Solution

To convert 2π9\frac{2\pi}{9} radians to degrees, we can use the formula:

Degrees=Radians×180π\text{Degrees} = \text{Radians} \times \frac{180}{\pi}

Substitute 2π9\frac{2\pi}{9} for radians:

2π9×180π=2×1809=3609=40\frac{2\pi}{9} \times \frac{180}{\pi} = \frac{2 \times 180}{9} = \frac{360}{9} = 40^\circ

So, 2π9\frac{2\pi}{9} radians is equal to 4040^\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 π\pi in radians and degrees?
  3. How many degrees are in one radian?
  4. What is π4\frac{\pi}{4} in degrees?
  5. How do you convert between radians and degrees without a calculator?

Tip: Remember, multiplying by 180π\frac{180}{\pi} converts radians to degrees, while multiplying by π180\frac{\pi}{180} converts degrees to radians.

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Radians to Degrees Conversion

Formulas

Degrees = Radians × (180 / π)

Theorems

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Suitable Grade Level

Grades 9-11