To convert radians to degrees, we use the following conversion factor:
[tex]\[ \text{Degrees} = \text{Radians} \times \left( \frac{180^{\circ}}{\pi} \right) \][/tex]
Let's break this down step by step:
1. Identify the measurement in radians:
Here, we are given 8 radians.
2. Use the conversion factor:
To convert radians to degrees, multiply the given radians by [tex]\(\frac{180^{\circ}}{\pi}\)[/tex].
Thus, the expression to convert 8 radians to degrees is:
[tex]\[ 8 \cdot \frac{180^{\circ}}{\pi} \][/tex]
When you perform this calculation by substituting [tex]\(\pi\)[/tex] with its approximate value (3.14159), you will get the number of degrees.
Using this conversion factor, 8 radians is equivalent to 458.3662361046586 degrees.
