164.22568…°  ×  π/180=2.86628π  cuanto da esto

To solve the expression given, we need to multiply the degree measure by \(\frac{\pi}{180}\) and then multiply the result by \(2.86628\pi\).

Here's the expression to calculate:

\[
164.22568 \times \frac{\pi}{180} = 2.86628\pi
\]

### Step-by-Step Solution

1. **Convert the degrees to radians:**

   \[
   \text{Radians} = 164.22568 \times \frac{\pi}{180}
   \]

2. **Simplify the multiplication:**

   \[
   \text{Radians} = \frac{164.22568 \pi}{180}
   \]

3. **Multiply the radians by \(2.86628\pi\):**

   \[
   \text{Result} = \left(\frac{164.22568 \pi}{180}\right) \times 2.86628\pi
   \]

4. **Calculate the numerical value:**

   Let's compute this value:

   \[
   \text{Result} = \frac{164.22568 \times 2.86628 \times \pi^2}{180}
   \]

Now, let’s calculate it:

\[
\frac{164.22568 \times 2.86628 \times \pi^2}{180} \approx 8.27144
\]

So, the final result is approximately:

\[
8.27144
\]

Would you like more details, or do you have any questions?

Here are 5 related questions for further practice:

1. How do you convert degrees to radians, and why is it useful?
2. What is the value of \(\pi\) squared (\(\pi^2\)), and how is it commonly used in calculations?
3. How would you convert 45 degrees to radians?
4. What are some real-world applications of converting between degrees and radians?
5. How do you handle calculations involving angles in trigonometry?

**Tip:** When converting degrees to radians, remember that \(180^\circ = \pi \text{ radians}\), so multiplying by \(\frac{\pi}{180}\) converts degrees to radians.

Learn how to convert 164.22568 degrees to radians and multiply the result by 2.86628π with a step-by-step solution. This problem involves trigonometric concepts, including radians conversion and multiplication of angles. Suitable for high school students.

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