Question

Find the probability that the dart lands in the shaded circular region. The radius of the dartboard is 4 in, and the radius of the shaded region is 2 in.

Answer 1

Answer: The required probability is 0.25.

Step-by-step explanation:

Since we have given that

Radius of the dartboard = 4 in

Area of the dartboard is given by

$\pi r^2=3.14\times (4)^2=3.14\times 16=50.24\ in^2$

Radius of the shaded region = 2 in

Area of shaded region is given by

$\pi r^2=3.14\times (2)^2=12.56\ in^2$

So, the probability that the dart lands in the shaded circular region is given by

$\dfrac{12.56}{50.24}=0.25$

Hence, the required probability is 0.25.