Area of a sector = θ360\frac{\theta}{360}360θ x π\piπ r2^{2}2
51.3 = θ360\frac{\theta}{360}360θ x 227\frac{22}{7}722 x 7 x 7
θ\thetaθ = 51.3×36022×7\frac{51.3 \times 360}{22 \times 7}22×751.3×360 = 119.9 ≈ 120º to the nearest whole number.