Convert the angle measure from radians to degrees.

− 

3𝜋

8

−67.5
 
 

To convert an angle from radians to degrees, we use the following formula:

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

In this case, the angle is \(-\frac{3\pi}{8}\) radians. Applying the formula:

\[
\text{Degrees} = -\frac{3\pi}{8} \times \frac{180}{\pi}
\]

The \(\pi\) cancels out:

\[
\text{Degrees} = -\frac{3 \times 180}{8} = -\frac{540}{8} = -67.5^\circ
\]

So, \(-\frac{3\pi}{8}\) radians is equivalent to \(-67.5^\circ\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you convert from degrees to radians?
2. What is \(\pi\) radians in degrees?
3. Why does multiplying by \(\frac{180}{\pi}\) convert radians to degrees?
4. What are the main differences between degrees and radians in angle measurement?
5. Can you find the degree equivalent of \(-\frac{7\pi}{6}\) radians?

**Tip:** Always check if you need to round your result when converting between radians and degrees!

Convert the angle measure from radians to degrees. - 3π/8 = -67.5°

Learn how to convert -3π/8 radians to degrees with this detailed step-by-step solution. Understand the radians-to-degrees conversion formula and apply it to get the result of -67.5°. Ideal for students in Grades 9-12 studying trigonometry and angle conversion.

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