The approximate area of the sector is 2.9490 square meters.
Step 1: Convert the angle to radians
We know the angle is 2 degrees, but the formula for the area of a sector requires the angle in radians. To convert degrees to radians, we multiply by π and divide by 180:
θ (in radians) = 2° * π / 180°
θ ≈ 0.0349 radians
Step 2: Calculate the area
The formula for the area of a sector is:
Area = θ * r^2 / 2
where:
θ is the central angle in radians
r is the radius
Step 3: Substitute the values and calculate
Area = 0.0349 radians * 13^2 / 2
Area ≈ 2.94905 square meters
Therefore, the approximate area of the sector is 2.9490 square meters.