What is the central angle of a circle with a radius of 2 feet and a segment area of 4.3 square feet.

a = 1/2 r^2 (θ-sinθ)

4.3 = 1/2 * 4 (θ-sinθ)
θ-sinθ = 2.15
Solve using your favorite numerical or graphical method to get
θ = 2.63511