Convert each degree measure into radians and each radian measure into degrees.
1170°

To convert an angle from degrees to radians, you can use the conversion factor \(\frac{\pi \text{ radians}}{180^\circ}\).

**Converting 1170° to radians:**

\[
\text{Radians} = 1170^\circ \times \frac{\pi \text{ radians}}{180^\circ}
\]

Calculating this:

\[
\text{Radians} = \frac{1170 \times \pi}{180}
\]

\[
\text{Radians} = \frac{1170}{180} \times \pi
\]

\[
\text{Radians} = 6.5\pi
\]

So, \(1170^\circ\) in radians is \(6.5\pi\).

### Summary:
- \(1170^\circ = 6.5\pi\) radians.

Would you like more details or have any questions?

Here are some related questions for further practice:
1. What is \(60^\circ\) in radians?
2. Convert \(225^\circ\) into radians.
3. How many degrees are in \(\pi/4\) radians?
4. Convert \(\frac{3\pi}{2}\) radians into degrees.
5. What is the radian measure of \(540^\circ\)?

**Tip:** Remember that \(360^\circ\) is equivalent to \(2\pi\) radians.

Learn how to convert 1170 degrees to radians with a detailed step-by-step solution using the degrees to radians conversion formula. Understand the relationship between degrees and radians in trigonometry. Suitable for high school students.

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