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The problem you're presenting asks for the perimeter of a circular plate fragment. Here's how we can break it down:

We are given a semi-circular fragment of a plate with a diameter of 24 cm. To calculate the perimeter of this fragment, we need to consider two parts:

1. **The straight edge** (which is the diameter of the semicircle) – This length is given directly as 24 cm.
   
2. **The curved edge** (the semicircular arc) – The length of this arc is half the circumference of a full circle. The formula for the circumference of a circle is \(C = \pi \times d\), where \(d\) is the diameter.

Let's compute the perimeter.

1. **Straight edge (diameter)**: \(24 \, \text{cm}\)

2. **Curved edge (semicircle)**: 
   \[
   \text{Arc length} = \frac{1}{2} \times \pi \times d = \frac{1}{2} \times \pi \times 24
   \]

Let me calculate that.The perimeter of the fragment is approximately 61.7 cm, which includes both the straight edge (24 cm) and the curved edge (arc of the semicircle).

Would you like further details or have any other questions?

Here are five related questions to deepen your understanding:
1. How would the formula change if this fragment represented a quarter of a circle?
2. What is the area of this semicircular fragment?
3. If the diameter were doubled, how would that affect the perimeter?
4. How can you calculate the length of the arc if given only the radius?
5. How is the perimeter different between a full circle and a semicircle?

**Tip**: The perimeter of a fragment involving a circle always combines the arc length with any straight edges present.

Calculate the perimeter of a fragment of a circular plate with a diameter of 24 cm, where the fragment is semi-circular.

Learn how to calculate the perimeter of a semi-circular plate fragment with a diameter of 24 cm. This problem involves key geometric concepts and is suitable for students in Grades 7-9.

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