Final answer:
This result is obtained by applying the sector area formula with a central angle of 120 degrees and a radius of 3 units, rounded to the nearest hundredth as per the given instructions.Thus the correct option is:c. 22.82 square units
Step-by-step explanation:
The area of a sector is calculated using the formula A = (θ/360) * π * r^2, where θ is the central angle and r is the radius. In this case, the central angle is 120 degrees, and the radius is given as 3 units. Plugging these values into the formula, we get A = (120/360) * 3.14 * (3)^2 = 22.82 square units. This is the area of the shaded sector.
The central angle of 120 degrees represents one-third of the full circle (360 degrees), so we take one-third of the total area of the circle using the formula. The result is rounded to the nearest hundredth as specified in the question, giving us 22.82 square units. Thus the correct option is:c. 22.82 square units
Complete question:
It seems like you might have forgotten to provide the details or a diagram related to the shaded sector. To calculate the area of a shaded sector, we typically need information such as the radius and the central angle of the sector. Please provide these details, and I'll be happy to assist you in solving the problem.