To find the area of a sector, we use the formula:
A = (theta/360) x pi x r^2
where A is the area of the sector, theta is the central angle in degrees, pi is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
In this case, we are given that r = 25 cm and theta = 130 degrees. Substituting these values into the formula, we get:
A = (130/360) x pi x (25)^2
A = (13/36) x pi x 625
A ≈ 227.02 cm^2
Therefore, the area of the sector with radius 25 cm and central angle 130 degrees is approximately 227.02 cm^2. <------- (ANSWER)