To solve [tex]\(\frac{\pi}{4}\)[/tex] for [tex]\(x\)[/tex] and compare it to the given choices:
1. Understanding the equation:
The equation given is [tex]\(\frac{\pi}{4}\)[/tex]. We need to determine its value and compare it to the provided choices of [tex]\(x\)[/tex].
2. Calculating [tex]\(\frac{\pi}{4}\)[/tex]:
The value of [tex]\(\pi\)[/tex] (pi) is approximately 3.141592653589793. Then,
[tex]\[
\frac{\pi}{4} \approx \frac{3.141592653589793}{4}
\][/tex]
3. Performing the division:
When you divide [tex]\(\pi\)[/tex] by 4, the result is approximately:
[tex]\[
\frac{3.141592653589793}{4} \approx 0.7853981633974483
\][/tex]
4. Comparing to the given choices:
The result approximately [tex]\(0.7853981633974483\)[/tex] should be compared with the given choices:
- [tex]\(x = 4\)[/tex]
- [tex]\(x = 2\)[/tex]
- [tex]\(x = 12\)[/tex]
- [tex]\(x = 32\)[/tex]
None of these choices are close to the result [tex]\(0.7853981633974483\)[/tex], which indicates that there might have been an error or misunderstanding in the problem's presentation, or perhaps the correct answer is not one of the provided options.
In conclusion, based on the calculation, [tex]\(\frac{\pi}{4} \approx 0.7853981633974483\)[/tex], and none of the given choices (4, 2, 12, 32) match this result.
