Final answer:
The area of the outer white ring is modeled by the polynomial π(R² - r²), subtracting the area of the inner circle from the outer circle using their respective radii. To calculate a specific area, plug in the values for R and r, and use π as 3.14 or its more precise value, considering significant figures.
Step-by-step explanation:
To create a polynomial that models the area of the outer white ring, we need to understand that the area A of a disk is calculated using the formula A = πr², where r is the radius. When we have two concentric circles forming a ring, we can find the area of the ring by subtracting the area of the smaller circle from the area of the larger circle.
Let's define the radius of the outer circle as R and the radius of the inner circle as r. The area of the outer white ring will then be the area of the outer circle minus the area of the inner circle, which gives us A = πR² - πr². This simplifies to A = π(R² - r²), which is the polynomial that represents the area of the white ring.
If we know the specific radii values, we substitute those in to get the numerical value of the area. As an example, if the outer radius R is 1.2 meters and the inner radius r is 1 meter, using 3.14 as the approximation for π, our polynomial becomes A = 3.14(1.2² - 1²) = 3.14(1.44 - 1) = 3.14(0.44), which gives an area of approximately 1.3856 m² (but this value would be limited by significant figures based on the precision of the radii provided).