Chapter 11.8, Problem 10ST2

To determine

To determine the probability that the dart landed inside the circle.

Answer to Problem 10ST2

Probability is $0.785$ or 78.5%.

Explanation of Solution

Given information :

  

Probability $=\frac{\text{favourable outcomes}}{\text{total outcomes}}$

Here probability is $=\frac{\text{area of circle}}{\text{total area}}$

Total area is $8\times 8=64$

Radius of circle is 4.

Hence area of circle is $\left(3.14\right){\left(4\right)}^2=50.24$

Hence probability is $=\frac{50.24}{64}=0.785$