document.write( "Question 1043823: A point is chosen at random on the coordinate plane such that both of its coordinates are between 0 and 2. What is the probability that the point is less than 1 unit from the origin?
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Algebra.Com's Answer #659019 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A point is chosen at random on the coordinate plane such that both of its coordinates are between 0 and 2. What is the probability that the point is less than 1 unit from the origin? \n" ); document.write( "-------------------- \n" ); document.write( "Sketch the picture. \n" ); document.write( "You have a 2 by 2 square with area = 4 units^2 \n" ); document.write( "You have 1/4 of a circle with center at 0,0 and radius = 1; \n" ); document.write( "are = (1/4)pi*1^2 = pi/4 \n" ); document.write( "------- \n" ); document.write( "P(point < 1 unit from (0,0)) = (pi/4)/4 = pi/16 \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------------------- \n" ); document.write( " |