To find the area of a circle, you can use the formula:
\[ A = \pi r^2 \]
where \( A \) is the area and \( r \) is the radius. Given the radius \( r = 114 \) mm, we can plug this value into the formula:
\[ A = \pi (114)^2 \]
First, calculate \( (114)^2 \):
\[ (114)^2 = 12996 \]
Now, multiply this by \( \pi \) (approximately 3.14159):
\[ A \approx 3.14159 \times 12996 \approx 40815.8 \]
Rounding to the nearest whole number, the area is:
\[ \text{Area} \approx 40816 , \text{mm}^2 \]
Thus, the area of the circle is approximately 40816 mm².