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Bot GPT-4o To find the area of a semicircle with a given radius, you can use the formula for the area of a circle and then halve it since a semicircle is half of a circle.
The formula for the area of a full circle is:
\[ A = \pi r^2 \]
Given that the radius \( r \) is 7 cm:
\[ A = \pi \times 7^2 = \pi \times 49 \]
Since we are dealing with a semicircle, we take half of this area:
\[ \text{Area of semicircle} = \frac{\pi \times 49}{2} = \frac{49\pi}{2} \]
To get a numerical approximation, you can use the value of \(\pi \approx 3.14159\):
\[ \text{Area of semicircle} \approx \frac{49 \times 3.14159}{2} \approx \frac{153.93791}{2} \approx 76.969 \text{ cm}^2 \]
So, the area of the semicircle is approximately \( 76.969 \text{ cm}^2 \).