Garrett  throws  a  dart  at  a  circular  dart  board.  the  dart  board  has  a  radius  of  18 inches,  and  the  bull’s  eye  in  the  center  of  the  dart  board  has  a  radius  of  4  inches. what  is  the  probability  that  a  dart  thrown  at  random  within  the  dartboard  will  hit the  bull’s  eye?   round  your  answer  to  the  nearest  tenth,  if  necessary. a.) 20.3% b.) 4.9% c.) 22.2% d.) 4.5%

option b. 4.9%

Explanation:

1) The probability that a dart thrown at random within the dart board will hit the bull's eye is equal to the ratio of the areas:

probability = area of the bull's eye / aera of the dart board.

2) Area of the dart board = π × (radius)² = π × (18 in)²

3) Area of the bull's eye = π × (radius)² = π × (4 in)²

4) So, the probaility is:

  π (4 in)²           4²
= = 0.0494
 π (18 in)²         18²

5) The percent probability is that number times 100: 0.0494 × 100 = 4.94%