### Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem9-161

9-161.

Each dartboard below is a target at the county fair dart-throwing game. What is the probability of hitting the darkened region of each target? Assume you always hit the board but the location on the board is random.

1. Notice that half of the circle is shaded.

$\frac{1}{2}$

1. See part (a).

1. Remember that 60° is one sixth of a full circle.

1. See part (a).

1. Each of the smaller squares are a quarter of the next one larger than it.

$\frac{1}{16}$

1. Subtract the value of a circle with a radius of one from the 2 by 2 square.

4 − 1(π)

$1-\frac{\pi}{4}$