document.write( "Question 320363: 2. A dart hits a dartboard that is in the shape of a square with sides of 4 m. There are four congruent circles inside the square that are all touching. The shaded region is everything but the 4 circles. What is the probability that the dart will land in the shaded region?\r
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document.write( "a. 21%
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document.write( "b. 25%
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document.write( "c. 50%
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document.write( "d. 79% \n" );
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Algebra.Com's Answer #229571 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! 4π/16\r \n" ); document.write( "\n" ); document.write( "area of square= 4m x 4m = 16m2\r \n" ); document.write( "\n" ); document.write( "area of all 4 circles = 4(πr^2) \n" ); document.write( "=4((π(1^2)) \n" ); document.write( "=4(π x 1) \n" ); document.write( "=4π\r \n" ); document.write( "\n" ); document.write( "probability of dart going in circles = area of circles/area of square\r \n" ); document.write( "\n" ); document.write( "= 4π/16.\r \n" ); document.write( "\n" ); document.write( "Now, 4π/16 = 4(3.14)/16 = 0.785, which can be rounded to two decimal places to become 79%.\r \n" ); document.write( "\n" ); document.write( "Choice d.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "NOTE: MY REPLY:\r \n" ); document.write( "\n" ); document.write( "Well, 79% represents the probability of the dart going into the shaded region. Understand?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |