https://file.aiquickdraw.com/mathbot/file/1731073061862rp3w8j3h.jpg

The image appears to be upside-down and contains handwritten text that looks like a mathematical problem or statement. Let me analyze the content, flip it if necessary, and extract the text to provide a solution or further assistance.

I'll transcribe and interpret the text accurately for you.Upon examining the image, I see the text:

\[
\text{Formula for Arc Length: } s = r\theta
\]

It seems to describe the formula for the arc length \( s \) of a circle, where:
- \( r \) is the radius of the circle.
- \( \theta \) is the central angle in radians.

To calculate the arc length \( s \), you multiply the radius \( r \) by the angle \( \theta \) in radians.

Would you like further details on how to use this formula or examples of arc length calculations? Here are some questions to consider:

1. What is the arc length if \( r = 5 \) and \( \theta = 2 \) radians?
2. How does changing \( r \) affect the arc length?
3. Why must the angle \( \theta \) be in radians for this formula to work?
4. How would you convert degrees to radians to use in this formula?
5. What applications might use the arc length formula?

**Tip:** Always ensure the angle is in radians when using this formula, as degrees will give incorrect results.

What is the formula for the arc length of a circle segment?

Explore the arc length formula for a circle segment, s = rθ, where s represents the arc length, r is the radius, and θ is the angle in radians. Learn how to calculate arc length and understand its applications in geometry, suitable for Grades 8-10.

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