To convert \(1125^\circ\) into radians, we use the same conversion factor: \(\frac{\pi \text{ radians}}{180^\circ}\).

### Converting 1125° to Radians:

\[
\text{Radians} = 1125^\circ \times \frac{\pi \text{ radians}}{180^\circ}
\]

Calculating this:

\[
\text{Radians} = \frac{1125 \times \pi}{180}
\]

\[
\text{Radians} = \frac{1125}{180} \times \pi
\]

\[
\text{Radians} = 6.25\pi
\]

So, \(1125^\circ\) in radians is \(6.25\pi\).

### Summary:
- \(1125^\circ = 6.25\pi\) radians.

Would you like more details or have any questions?

Here are some related questions for further practice:
1. Convert \(300^\circ\) into radians.
2. What is \(45^\circ\) in radians?
3. How many degrees are in \(2\pi\) radians?
4. Convert \(\frac{5\pi}{6}\) radians into degrees.
5. What is the radian measure of \(720^\circ\)?

**Tip:** When converting degrees to radians, multiply the degree measure by \(\frac{\pi}{180}\) to get the equivalent radian measure.

Learn how to convert 1125 degrees to radians with a detailed step-by-step guide. This problem covers trigonometric concepts, specifically degrees to radians conversion formula. Suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation