https://file.aiquickdraw.com/mathbot/file/17263624030883x3i2smp.jpg

To find the circumference of the circle from the provided image, we need to extract the following details:

### Given Information:
- The width of the rectangle at the top is 10 meters.
- The height of the rectangle on the side is 7 meters.
- The shape beneath the rectangle is a semicircle.

### Steps to Find the Circumference of the Circle:
1. **Identify the diameter of the circle**: The diameter of the semicircle matches the width of the rectangle, which is 10 meters.
   
   \[
   \text{Diameter (D)} = 10 \, \text{m}
   \]

2. **Calculate the radius of the circle**: The radius is half the diameter.
   
   \[
   \text{Radius (r)} = \frac{D}{2} = \frac{10}{2} = 5 \, \text{m}
   \]

3. **Calculate the circumference of the full circle**: The formula for the circumference of a full circle is:

   \[
   C = 2 \pi r = 2 \pi \times 5 = 10 \pi \, \text{m}
   \]

   Therefore, the total circumference of the full circle is \( 10 \pi \) meters, which is approximately \( 31.42 \, \text{m} \).

4. **Interpret the question**: Since the shape shown in the image is a semicircle, the circumference needed is half of the full circle. Additionally, we include the straight horizontal edge (the diameter) as part of the total perimeter around the shape.

   - The semicircular part's circumference is:
     \[
     \text{Semicircle circumference} = \frac{C}{2} = \frac{10 \pi}{2} = 5 \pi \, \text{m} \approx 15.71 \, \text{m}
     \]
   
   - Adding the diameter to the total perimeter:
     \[
     \text{Total perimeter} = 5 \pi + 10 \approx 15.71 + 10 = 25.71 \, \text{m}
     \]

Thus, the total perimeter around the semicircle is approximately **25.71 meters**.

Let me know if you'd like more details or have questions! Here are 5 related questions for further practice:

1. What is the formula for the area of a circle?
2. How would you calculate the area of a semicircle?
3. If the radius of the circle were 6 meters, what would the circumference be?
4. What is the relationship between the diameter and circumference of a circle?
5. How can you calculate the area of a sector of a circle?

**Tip:** Always ensure that you include all necessary parts of a shape (like straight edges) when calculating perimeters for composite shapes.

Learn how to calculate the perimeter of a shape with a semicircle and a rectangular edge. This problem covers key geometric concepts like circumference and perimeter of composite shapes. Suitable for students in Grades 5-7.

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