We are asked to solve for the area of the sector in a circle which central angle measures 125° and the circle also has a diameter of 13 feet. To solve this problem, we need to use the formula in solving area of a sector and it is shown below:
Area of a sector = (central angle / 360) * pi*r²
In the problem, we have radius = diameter / 2 which is r = 13/2 and r = 6.5 feet
Area = (125/360)*pi(6.5)²
Area = (125/360) * 3.14*6.5²
Area = 46.06 feet²
The answer is 46.1 feet².