SOLUTION: A dart hits the square dartboard shown below at a random point. Find the probability of the circular region. Each side of the dartboard is 14 inches, and the radius of the shaded r

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Question 1034675: A dart hits the square dartboard shown below at a random point. Find the probability of the circular region. Each side of the dartboard is 14 inches, and the radius of the shaded region is 6 inches.
Use the value 3.14 for pie. Round your answer to the nearest hundredth.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you have a square whose area ia 14^2 = 196 square inches.
the area of the circle with radius 6 is equal to 3.14 * 6^2 = 3.14 * 36 = 113.04.
the probability that the dart will hit within the circle is equal to 113.04 / 196 = .5767346939 which is rounded to .58.
this assumes the dart will always hit the square at least.