document.write( "Question 273256:  If  measures 135, what is the length of the radius of this circle? Round your answer to two decimal places.
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| Algebra.Com's Answer #199673 by Theo(13342)     You can put this solution on YOUR website! if you are talking about the circumference of the circle, then the equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c = 2*pi*r\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When c = 135, this formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "135 = 2*pi*r\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 2*pi to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = 135/(2*pi) which makes r = 21.48591732\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rounded to the nearest 2 decimal places, that becomes 21.49.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you are talking about the area of the circle, then the equation for that is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = pi*r^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When a = 135, this formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "135 = pi*r^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by pi to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "42.97183463 = r^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take square root of both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = sqrt(42.97183463) = 6.555290584\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rounded to the nearest 2 decimal places, that becomes r = 6.56,\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |