The area of a sector is given by the formula
... A = (1/2)r²·θ . . . . . where r is the radius, and θ is the central angle is radians
Your angle is given in degrees, so we need to multiply it by π/180° to find its equivalent in radians.
... A = (1/2)(7.13 ft)²·(50°)·(π/180°) ≈ 7.0607π ft² ≈ 22.2 ft²