https://file.aiquickdraw.com/mathbot/file/1726455394956zxm7mold.jpg

The image shows \( \frac{1}{8} \, \text{rev} \), which represents a fractional portion of a full revolution.

1 full revolution (rev) is equivalent to \( 360^\circ \) in degrees or \( 2\pi \) radians.

To convert \( \frac{1}{8} \, \text{rev} \) into degrees:
\[
\frac{1}{8} \times 360^\circ = 45^\circ
\]
So, \( \frac{1}{8} \, \text{rev} \) is equivalent to \( 45^\circ \).

To convert \( \frac{1}{8} \, \text{rev} \) into radians:
\[
\frac{1}{8} \times 2\pi = \frac{\pi}{4} \, \text{radians}
\]
Thus, \( \frac{1}{8} \, \text{rev} \) is also equivalent to \( \frac{\pi}{4} \) radians.

Would you like more details or have any questions?

Here are five related questions:
1. How do you convert a general fraction of a revolution to degrees or radians?
2. What is the relationship between degrees and radians?
3. How many radians are there in a quarter revolution?
4. How would you express \( \frac{1}{16} \, \text{rev} \) in degrees and radians?
5. What is the angular velocity if \( \frac{1}{8} \, \text{rev} \) happens in 2 seconds?

**Tip**: To quickly convert revolutions to radians, multiply by \( 2\pi \), and for degrees, multiply by 360.

What is the value of 1/8 revolution in degrees and radians?

Learn how to convert 1/8 of a revolution into degrees and radians. Using the conversion formulas, 1/8 revolution is equal to 45° or π/4 radians. This problem is ideal for students in Grades 9-12 and involves concepts of rotations and angular measurement.

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