Final answer:
To find the area of a sector, you need to know the measure of the angle (in radians) formed by the sector. Since the question does not provide the angle, it is not possible to calculate the area of the sector.
Step-by-step explanation:
To find the area of a sector, you need to know the measure of the angle (in radians) formed by the sector.
The formula for the area of a sector is A = (θ/2) * r^2, where A is the area, θ is the angle, and r is the radius.
In this case, the question provides the area, which is 512π ft². Since we don't have the measure of the angle, we cannot directly find the radius.
Therefore, without more information, it is not possible to calculate the area of the sector.