document.write( "Question 1049272: Find the diameter of a circle whose area as 112 cm² round your answer to the nearest 10th \n" ); document.write( "
Algebra.Com's Answer #664902 by Theo(13342)![]() ![]() You can put this solution on YOUR website! formula for area of a circle is a = pi * r^2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a is the area \n" ); document.write( "pi is 3.14..... \n" ); document.write( "r is the radius. \n" ); document.write( "d is the diameter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the diameter is equal to twice the length of the radius.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = pi * r^2. \n" ); document.write( "since a = 112, the formula becomes 112 = pi * r^2. \n" ); document.write( "divide both sides of this equation by pi to get: \n" ); document.write( "112/pi = r^2 \n" ); document.write( "take the square root of both sides of this equation and solve for r to get: \n" ); document.write( "r = plus or minus sqrt(112/pi) \n" ); document.write( "the radius can't be minus, so you get: \n" ); document.write( "r = sqrt(112/pi) \n" ); document.write( "since diameter = twice the radius, you get: \n" ); document.write( "d = 2 * r which makes d = 2 * sqrt(112)/pi) \n" ); document.write( "solve for d to get d = 11.94164264 \n" ); document.write( "round to 1 decimal place to get d = 11.9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |