$$d = 2R = 8$$ $$R = 4$$ $$2R = \frac{a}{\sin{\alpha}}$$ $$8 = \frac{a}{\sin{110}}$$ $$a = 8\sin{110}$$ $$a \approx = 7.5$$ $$8 = \frac{b}{\sin{50}}$$ $$b = 8\sin{50}$$ $$b \approx 6.1$$ $$180-110-50=20$$ $$c = 8\sin{20}$$ $$c \approx 2.7$$ $$S = \pi \cdot R^2$$ $$S_{\triangle} = \frac{abc}{4R}$$ $$S_{\triangle} \approx 7.7 $$ $$S = 16\pi$$ $$S - S_{\triangle} \approx 42.6$$