Convert the angle in radians to degrees.

StartFraction 5 pi Over 18 EndFraction

To convert an angle from radians to degrees, you can use the conversion factor:

\[
\text{degrees} = \text{radians} \times \frac{180}{\pi}
\]

For the angle \( \frac{5\pi}{18} \) radians, the conversion to degrees is:

\[
\frac{5\pi}{18} \times \frac{180}{\pi}
\]

The \( \pi \) cancels out:

\[
\frac{5 \times 180}{18} = \frac{900}{18} = 50^\circ
\]

So, \( \frac{5\pi}{18} \) radians is equal to \( 50^\circ \).

Would you like more details on this conversion or have any other questions?

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Here are some related questions you might be interested in:

1. How do you convert degrees to radians?
2. What is the degree measure of \( \frac{2\pi}{3} \) radians?
3. How do you simplify expressions involving radians and degrees?
4. What is the radian measure of \( 90^\circ \)?
5. How do you express \( \frac{\pi}{4} \) radians in degrees?
6. What is the degree measure of \( 1 \) radian?
7. How do you handle conversions when the angle is negative?
8. What is the degree measure of \( \frac{7\pi}{6} \) radians?

**Tip:** When converting from radians to degrees, the key factor is \( \frac{180}{\pi} \). Multiplying by this will give you the angle in degrees.

Learn how to convert an angle in radians to degrees using the formula degrees = radians * 180 / π. This guide explains the conversion process with a detailed example of converting (5π / 18) radians to degrees. Suitable for high school students learning trigonometric conversions.

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