Answer:
0.3696 radian
21.178°
Step-by-step explanation:
Given :
Radius, r = 22 yards
Area of Sector = 89.45 yd²
Approximate angle of the sector :
Area of Sector = 1/2 * θ * r²
89.45 = 1/2 * θ * 22²
89.45 = 0.5 * 484 * θ
89.45 = 242θ
θ = 89.45 / 242
θ = 0.3696 radian
Radian to degree
0.3696 * 180 / π = 21.178°
