https://file.aiquickdraw.com/mathbot/file/1729105139780zvxswrzt.jpg

To find the length of arc \(AC\), we will use the formula for the length of an arc of a circle:

\[
L = \frac{\theta}{360^\circ} \times 2\pi r
\]

Where:
- \(L\) is the arc length,
- \(\theta\) is the angle of the arc in degrees,
- \(r\) is the radius of the circle,
- \(\pi\) is approximately 3.14 (as provided).

### Step 1: Identify the values
From the diagram:
- The angle \( \theta \) is \(180^\circ\),
- The radius \(r\) is 24 cm.

### Step 2: Plug values into the formula

\[
L = \frac{180^\circ}{360^\circ} \times 2 \times 3.14 \times 24 \, \text{cm}
\]

### Step 3: Simplify the expression

\[
L = \frac{1}{2} \times 2 \times 3.14 \times 24
\]

\[
L = 1 \times 3.14 \times 24
\]

\[
L = 75.36 \, \text{cm}
\]

### Conclusion
The length of arc \(AC\) is **75.36 cm**.

Would you like further details or have any questions?

### Related questions:
1. How would the arc length change if the angle was \(90^\circ\) instead of \(180^\circ\)?
2. What is the formula for finding the area of a sector?
3. How does the radius affect the length of an arc?
4. How would the arc length change if the radius were doubled?
5. Can you derive the formula for arc length starting from the circumference formula?

### Tip:
Always double-check the angle and radius before plugging values into the arc length formula to avoid errors.

Find the length of arc AC. Use 3.14 for the value of π. The radius is 24 cm, and the arc subtends a 180° angle.

Learn how to calculate the length of arc AC in a circle with a radius of 24 cm, where the angle subtended by the arc is 180°. This geometry problem uses the arc length formula and assumes π ≈ 3.14. Ideal for students in Grades 7-10.

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