https://file.aiquickdraw.com/mathbot/file/1725660268799nt0jcsvi.jpg

The image appears to show a semicircle with a diameter labeled as 15 units, and a shaded area (possibly representing the area of the semicircle). The problem likely involves calculating either the area of the semicircle or some related geometric property.

Let's go through the solution:

### Step 1: Understand the Semicircle's Dimensions
- **Diameter (d):** 15 units
- **Radius (r):** \( r = \frac{d}{2} = \frac{15}{2} = 7.5 \) units

### Step 2: Calculate the Area of the Semicircle
The area \( A \) of a semicircle is given by the formula:
\[
A = \frac{1}{2} \times \pi \times r^2
\]
Substituting the radius:
\[
A = \frac{1}{2} \times \pi \times (7.5)^2
\]
\[
A = \frac{1}{2} \times \pi \times 56.25
\]
\[
A = 28.125\pi \, \text{square units}
\]
If you need a numerical approximation:
\[
A \approx 28.125 \times 3.1416 \approx 88.36 \, \text{square units}
\]

### Conclusion
The area of the semicircle is approximately **88.36 square units**.

Would you like more details or have any questions about this problem? Here are some related questions you might find interesting:

1. How do you calculate the perimeter of the semicircle?
2. What is the full area of the circle if we consider the entire circle instead of just the semicircle?
3. How do you calculate the area of a sector of the circle with a given central angle?
4. What would be the length of the arc of this semicircle?
5. How would the area change if the diameter was doubled?

**Tip:** When working with circles and semicircles, always remember that the radius is half of the diameter, which is crucial for calculating areas and circumferences.

Calculate the area of a semicircle with a diameter of 15 units.

Learn how to calculate the area of a semicircle with a diameter of 15 units. This geometry problem involves key concepts such as the formula for the area of a semicircle and understanding the relationship between radius and diameter. Suitable for students in Grades 6-8.

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