Your last task is to decorate the outer edge of your Ferris Wheel. What is the arc length of one sector of your Ferris Wheel? Remember to convert your central angle. Round to the nearest hundredth.

To find the arc length of one sector of the Ferris Wheel, we can use the formula for the arc length of a circle:

\[
\text{Arc Length} = r \times \theta
\]

Where:
- \( r \) is the radius of the Ferris Wheel
- \( \theta \) is the central angle in radians

**Step 1: Convert the central angle to radians.**

If the central angle is given in degrees, you can convert it to radians using the formula:

\[
\theta \ (\text{radians}) = \theta \ (\text{degrees}) \times \frac{\pi}{180}
\]

**Step 2: Use the formula for arc length.**

Once you have the central angle in radians and the radius of the Ferris Wheel, plug them into the arc length formula to find the solution.

Can you provide the radius of the Ferris Wheel and the central angle? I can then proceed with the calculation.

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Let me know if you'd like help calculating or understanding radians, or if you're unsure about any step. Here are some related questions to deepen your understanding:

1. What is the difference between degrees and radians?
2. How do you convert between radians and degrees?
3. What is the relationship between a circle’s circumference and its radius?
4. What other real-world examples use arc length calculations?
5. How can the sector area of a circle be calculated?

**Tip:** When working with circular motion, always convert angles to radians for easier calculations in physics and math.

Learn how to calculate the arc length of one sector of a Ferris Wheel using the radius and central angle. This detailed guide explains how to convert the central angle from degrees to radians and apply the arc length formula. Perfect for students in Grades 10-12.

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