Final answer:
The area of a circle is calculated using the formula A = πr², where 'r' is the radius of the circle. The area should be presented with the same number of significant figures as the given radius. Without the radius of the Starbucks sign, we cannot select the correct option for its area.
Step-by-step explanation:
The student is asking about the area of a circular sign, which requires the use of the area formula for a circle, A = πr². To calculate the area, you need the radius (r) of the circle. Once you have the radius, you can square it and multiply by π (Pi) to get the area in square units. In the example given, we have a calculated area of 4.5238934 m² with a radius of 1.2 m. But because the radius is given with two significant figures, the calculated area should also be presented with two significant figures, resulting in A=4.5 m².
Applying this principle to the options provided for the area of the Starbucks sign will help to determine the correct choice. The answer choices use π as part of the expression, so our final area should also be expressed in a similar π-involved form if necessary. However, without the exact radius or additional context given for the area of the Starbucks sign, we cannot determine which of the provided options (A, B, C, or D) is the correct one.