document.write( "Question 1070269: A circle is inscribed in an equilateral triangle, if the circumference of the circle is 3, find the perimeter of the equilateral triangle. \n" ); document.write( "
Algebra.Com's Answer #685388 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! When a circle is inscribed in an equilateral triangle, the radius(r) of the inscribed circle is \n" ); document.write( ": \n" ); document.write( "r = s * square root(3) / 6, where s is the length of a side of the equilateral triangle \n" ); document.write( ": \n" ); document.write( "circumference(C) = 2 * pi * r \n" ); document.write( ": \n" ); document.write( "3 = 2 * pi * r \n" ); document.write( ": \n" ); document.write( "r = 3 / (pi * 2) \n" ); document.write( ": \n" ); document.write( "(3 / (pi * 2)) = s * square root(3) / 6 \n" ); document.write( ": \n" ); document.write( "(18 / (pi * 2)) = s * square root(3) \n" ); document.write( ": \n" ); document.write( "s = 18 / ( pi * 2 * square(3)) = 1.654 \n" ); document.write( ": \n" ); document.write( "****************************************************** \n" ); document.write( "Perimeter of equilateral triangle is 3 * 1.654 = 4.962 \n" ); document.write( "****************************************************** \n" ); document.write( ": \n" ); document.write( " |