convert the angle given in radians to degrees 87 radians = 

To convert radians to degrees, you can use the following formula:

\[
\text{Degrees} = \text{Radians} \times \left( \frac{180}{\pi} \right)
\]

Given that \(87\) radians need to be converted, we calculate as follows:

\[
\text{Degrees} = 87 \times \left( \frac{180}{\pi} \right) \approx 87 \times 57.2958 \approx 4984.74
\]

So, \(87\) radians is approximately \(4984.74\) degrees.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you convert degrees back into radians?
2. What is the significance of the constant \(\pi\) in radian to degree conversion?
3. How do radians relate to the circumference of a circle?
4. Can an angle exceed 360 degrees, and how is it interpreted in a circle?
5. What are practical examples of large radian measures like 87 radians?

**Tip:** Remember, 1 full rotation in a circle is \(2\pi\) radians or \(360\) degrees.

convert the angle given in radians to degrees 87 radians =

Learn how to convert 87 radians to degrees using the formula Degrees = Radians × (180/π). This trigonometry problem demonstrates the steps involved in converting radians to degrees, providing an approximate answer of 4984.74 degrees. Suitable for students in Grades 9-12.

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