Final answer:
Without the radius of the circle or the angle of the sector, we cannot find the area of the sector. However, once these values are provided, mathematical operations followed by rounding off to the nearest hundredth would yield the desired result.
The correct answer is none of all.
Step-by-step explanation:
The question given pertains to finding the area of a smaller sector, which is a problem that can be typically found in a high school mathematics curriculum, specifically within geometry or trigonometry courses. The steps to solving this problem would involve using the formula for the area of a sector, which is a fraction of the circle's total area. Unfortunately, the original question doesn't seem to provide all the necessary values such as the radius of the circle or the angle of the sector required to calculate the area. Without these essential pieces of information, we cannot find the area of the sector.
If the student provided these values, the formula to find the sector's area is (θ/360) × π × r^2, where θ is the central angle in degrees, π is a constant (approximately 3.14159), and r is the radius of the circle. After calculating the area, it would be important to round off to the nearest hundredth, as specified in the question. This would involve looking at the thousandth place and determining whether to round up or stay the same based on whether the number is five or above, or below five, respectively.