Probability = number of favorable outcomes/number of total outcomes
In this scenario, we are concerned with the dart landing on the square. Thus,
number of favorable outcome = area of square
number of total outcome = area of circle
Area of square = s^2
where
s is the length of each side
Area of circle = πr^2
where
r is the radius of the circle
From the information given,
s = 6
r = 8
π = 3.14
Area of square = 6^2 = 36
Area of circle = 3.14 x 8^2 = 200.96
the probability that the dart lands in the shaded square region = 36/200.96
the probability that the dart lands in the shaded square region = 0.18
