Jordyn909taylor Jordyn909taylor
  • 23-03-2022
  • Mathematics
contestada

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

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

Respuesta :

Hrishii
Hrishii Hrishii
  • 23-03-2022

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]

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