Answer:
Area = (36π - 12πx + x²π) mm²
Explanation:
Given that,
radius of lense = 6mm
Length from outer layer of pupil to lense = x mm
Radius of pupil = 6 - x mm
Formula to calculate area of pupil
Area = π r²
where r is radius of pupil
Area = π (6 -x)²
Area = π (6² -2(6)(x) + x²)
Area = π (36 -12x +x²)
Area = (36π - 12πx + x²π) mm²
So, the polynomial in standard form that represent the area of pupil in terms of π = (36π - 12πx + x²π) mm²