https://file.aiquickdraw.com/mathbot/file/17296317030760xwfem5n.jpg

To find the area of the semicircle shown in the image, we can use the formula for the area of a full circle and then divide it by 2 since we're dealing with a semicircle.

### Formula for the area of a circle:
\[
A = \pi r^2
\]
Where:
- \( A \) is the area of the circle.
- \( r \) is the radius of the circle.
- \( \pi \) is approximately 3.14159.

### For a semicircle, the area is half the area of a full circle:
\[
A_{\text{semicircle}} = \frac{1}{2} \pi r^2
\]

### Given dataTo find the area of the semicircle shown in the image, we can use the formula for the area of a full circle and then divide it by 2 since we're dealing with a semicircle.

### Formula for the area of a circle:
\[
A = \pi r^2
\]
Where:
- \( A \) is the area of the circle.
- \( r \) is the radius of the circle.
- \( \pi \) is approximately 3.14159.

### For a semicircle, the area is half the area of a full circle:
\[
A_{\text{semicircle}} = \frac{1}{2} \pi r^2
\]

### Given 
- The radius \( r = 5 \) cm.

### Calculation:
\[
A_{\text{semicircle}} = \frac{1}{2} \times \pi \times 5^2
\]
\[
A_{\text{semicircle}} = \frac{1}{2} \times \pi \times 25
\]
\[
A_{\text{semicircle}} = \frac{1}{2} \times 78.54
\]
\[
A_{\text{semicircle}} \approx 39.27 \, \text{cm}^2
\]

Rounding this to the nearest 0.1 cm², we get:
\[
A_{\text{semicircle}} \approx 39.3 \, \text{cm}^2
\]

So, the area of the semicircle is approximately **39.3 cm²**.

Would you like more details or have any further questions?

Here are 5 related questions you can explore:
1. How would you calculate the circumference of a semicircle?
2. What is the area of a quarter circle with the same radius?
3. If the radius is doubled, how does that affect the area of the semicircle?
4. How do you find the perimeter of the semicircle?
5. How does changing the radius affect the area of a semicircle?

**Tip**: Remember that rounding too early in calculations can lead to inaccuracies, so always try to round at the final step.

Work out the area of the semicircle with radius 5 cm, correct to the nearest 0.1 cm².

Learn how to calculate the area of a semicircle with a radius of 5 cm. The solution involves applying the formula for the area of a circle and dividing it by 2. This problem is ideal for students in Grades 7-9 studying geometry.

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