To find the area of the segment, you can use the formula:
Area of segment = (1/2) * r^2 * (θ - sinθ)
where r is the radius of the circle and θ is the central angle in radians.
First, convert the central angle from degrees to radians:
98° * (π/180) = 1.71 radians
Then, plug in the values for r and θ into the formula:
Area of segment = (1/2) * 3^2 * (1.71 - sin(1.71))
Area of segment = 4.5 * (1.71 - 0.984)
Area of segment = 4.5 * 0.726
Area of segment = 3.27 square meters (rounded to two decimal places)
Therefore, the area of the segment is approximately 3.27 square meters.