Question

An archery target is shown. The length of a side of the inner square is 6 ft, and the length of a side of the outer square is 11 ft. If an arrow hits the target at random, what is the probability that it hits the shaded region? Round to the nearest percent.

a) 30%
b) 40%
c) 50%
d) 60%

Answer 1

To find the probability of hitting the shaded region of the archery target, we need to find the ratio of the area of the shaded region to the area of the entire target. Therefore, the answer is d) 60%.

Step-by-step explanation:

To find the probability of hitting the shaded region of the archery target, we need to find the ratio of the area of the shaded region to the area of the entire target. The area of the entire target can be found by subtracting the area of the inner square from the area of the outer square. The area of the shaded region can be found by subtracting the area of the inner circle from the area of the outer square.

Once we have these two areas, we can divide the area of the shaded region by the area of the entire target to get the probability. In this case, the area of the shaded region is 95 square feet and the area of the entire target is 121 square feet. Dividing the area of the shaded region by the area of the entire target gives us a probability of approximately 78%. Therefore, the answer is d) 60%.