Problema Solution
Find the probability of the circular region. Each side of the dartboard is 14 in, and the radius of the shaded region is 6 in. Use the value 3.14 for pie. Round your answer to the nearest hundredth.
Answer provided by our tutors
The probability equals the area of the shaded circle over the area of the square dart board.
The dart board area is 14^2*pi in^2
The shaded circle's area is 6^2*pi in^2
The probability that you would hit the shaded area is:
p = (6^2*pi)/(14^2*pi)
p = 36/196
p = 0.18 to the nearest hundredth
The probability to the nearest hundredth is 0.18.