What is the value of the 'a' constant when 100 fields are counted?

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Multiple Choice

What is the value of the 'a' constant when 100 fields are counted?

Explanation:
The value of a comes from the area of a single counting field, which is a circle. If the field of view has a diameter of 1 unit, its radius is 0.5 units, so the area is A = πr^2 = π(0.5)^2 = π/4 ≈ 0.785. Counting 100 fields doesn’t change the per-field area; it would just multiply to a total of 100 × 0.785 for all fields. The other options represent dividing that per-field area by 10 or 100, which isn’t how this constant is defined.

The value of a comes from the area of a single counting field, which is a circle. If the field of view has a diameter of 1 unit, its radius is 0.5 units, so the area is A = πr^2 = π(0.5)^2 = π/4 ≈ 0.785. Counting 100 fields doesn’t change the per-field area; it would just multiply to a total of 100 × 0.785 for all fields. The other options represent dividing that per-field area by 10 or 100, which isn’t how this constant is defined.

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