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The problem involves finding the length of arc AB in a circle, where the following information is provided:

- The circumference of the circle is 60 feet.
- The central angle ∠ACB is 30°.

To find the length of the arc, we can use the formula for the length of an arc:

\[
\text{Arc length} = \frac{\theta}{360^\circ} \times \text{Circumference}
\]

Where:
- \( \theta \) is the central angle in degrees (30° in this case).
- The circumference of the circle is 60 feet.

Substituting the values into the formula:

\[
\text{Arc length} = \frac{30^\circ}{360^\circ} \times 60 \, \text{feet}
\]

\[
\text{Arc length} = \frac{1}{12} \times 60 = 5 \, \text{feet}
\]

Therefore, the length of arc AB is **5 feet**.

Let me know if you'd like any more details or have additional questions!

Here are some related questions:
1. How would the formula change if the angle is given in radians instead of degrees?
2. What if the central angle was 90° instead of 30°?
3. How do you calculate the radius of a circle given its circumference?
4. How do you calculate the area of a sector in a circle?
5. What is the relationship between the radius, circumference, and area of a circle?

Tip: Always check the units of the given data to ensure they match the formula requirements.

You are given the circumference of the circle and the measure of the central angle ACB. Find the length of arc AB.

Learn how to calculate the length of an arc when given the central angle and circumference. In this example, the circumference of the circle is 60 feet, and the central angle is 30°. The solution uses the arc length formula to find the length of arc AB as 5 feet. Suitable for students in Grades 7-9.

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