Answer:
P = 0.07
Step-by-step explanation:
To find the probability, we need to find the area of the circular dashboard and the area of the square shaded region.
The area of the circle is calculated as
Ac = πr²
Where π = 3.14 and r is the radius. So, replacing r = 13 in, we get
Ac = (3.14)(13)²
Ac = (3.14)(169)
Ac = 530.66 in²
On the other hand, the area of the square is
As = s²
Where s is the side, so replacing s = 6 in, we get:
As = 6²
As = 36 in²
Now, the probability that the dart lands in the shaded square region is the area of the square divided by the Area of the circle, so
P = As/Ac
P = 36/530.66
P = 0.07
So, the answer is 0.07