Question

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

Answer 1

79%

Explanation:

Area of rectangular region = 3*6 = 18 sq inches

Diameter of circle = 3 in

-> radius (r) = 3/2 = 1.5 inches

`Area \: of\:both \: circular \: regions \\ =2( \pi {r}^(2) ) \\ =2( 3.14 * {1.5}^(2) ) \\ = 14.13 \: {in}^(2) \\ \\ P(dart \: landing \: in \: the \: shaded \: area) \\ = (Area \: of \: both \: circular \: regions)/(Area \: of \: rectangular \: region) \\ = (14.13)/(18) \\ = 0.785 \\ \approx \: 0.79\\=79\%`