The probability of a dart landing in the shaded area is approximately

Answer:
79%
Step-by-step explanation:
Area of rectangular region = 3*6 = 18 sq inches
Diameter of circle = 3 in
-> radius (r) = 3/2 = 1.5 inches
[tex]Area \: of\:both \: circular \: regions \\ =2( \pi {r}^{2} ) \\ =2( 3.14 \times {1.5}^{2} ) \\ = 14.13 \: {in}^{2} \\ \\ P(dart \: landing \: in \: the \: shaded \: area) \\ = \frac{Area \: of \: both \: circular \: regions}{Area \: of \: rectangular \: region} \\ = \frac{14.13}{18} \\ = 0.785 \\ \approx \: 0.79\\=79\%[/tex]