The formula to calculate the aperture area (A) is:
\[ A = \pi \left(\frac{D}{2}\right)^2 = \pi \left(\frac{n}{2f}\right)^2 \]
Where:
Let's say the aperture diameter (D) is 50 mm, the focal length (n) is 100 mm, and the f-number (f) is 2. Using the formula:
\[ A = \pi \left(\frac{50}{2}\right)^2 = \pi \left(\frac{100}{2 \times 2}\right)^2 \]
We get:
\[ A = \pi \times 625 = 1963.50 \, \text{mm}^2 \]
So, the aperture area is approximately 1963.50 mm².