Imagine that you participate in an archery tournament. You are an amazing archer and you can surely make a hit within a 4 cm radius circle area from the center of the target. You have one last shot left and in order to win the contest, you must hit not further than 3 cm away from the center. What is the probability of you winning the tournament?
Give an answer in form of a fraction "a/b". For example,
1/8
Hint: first, calculate the area of both circles before calculating the probability!