https://file.aiquickdraw.com/mathbot/file/1727299664552nvdnmblu.jpg

To find the perimeter of a semicircle, you need to add the length of the straight side (the diameter) to the curved side (half of the circumference).

The formula for the perimeter \( P \) of a semicircle is:

\[
P = \pi r + 2r
\]

Where:
- \( \pi \) is approximately 3.1416,
- \( r \) is the radius of the semicircle, which is half the diameter.

From the image, the diameter is 10 cm, so the radius \( r \) is:

\[
r = \frac{10}{2} = 5 \, \text{cm}
\]

Now, applying the formula:

\[
P = \pi \times 5 + 10 = 3.1416 \times 5 + 10 = 15.708 + 10 = 25.708 \, \text{cm}
\]

Rounding to the nearest 0.1 cm:

\[
P \approx 25.7 \, \text{cm}
\]

Thus, the perimeter of the semicircle is **25.7 cm**.

Would you like further details or have any questions?

Here are 5 related questions for you:
1. How would the perimeter change if the diameter were doubled?
2. What is the formula for the area of a semicircle?
3. How does the perimeter of a semicircle compare to that of a full circle?
4. If the diameter was given in meters instead of centimeters, how would the calculation change?
5. What is the perimeter of a quarter circle with a diameter of 10 cm?

**Tip:** Always make sure to include both the straight and curved parts when calculating the perimeter of a semicircle.

Work out the perimeter of the semicircle, correct to the nearest 0.1cm. The diameter is 10 cm.

Learn how to calculate the perimeter of a semicircle with a 10 cm diameter, using key geometric formulas and step-by-step explanations. Suitable for middle school students in Grades 6-8.

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