document.write( "Question 353183: if an arc with length of 12 phi is 3/4 the circumference of a circle. what is the shortest distance between the end points of the arc? \n" ); document.write( "

Algebra.Com's Answer #252421 by Fombitz(32388) $\"\"$ $\"About$

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\n" ); document.write( "The circumference of a circle is,
\n" ); document.write( " $\"C=pi%2AD\"$
\n" ); document.write( " $\"pi%2AD=12%2Api\"$
\n" ); document.write( " $\"D=12\"$
\n" ); document.write( "If we looked at the circle on a coordinate system, the one endpoint would be at ( $\"R\"$ , $\"0\"$ ) and the other would be at ( $\"0\"$ , $\"R\"$ ), where $\"R\"$ is the radius of the circle.
\n" ); document.write( "The shortest distance between two points in Euclidean geometry is a straight line.
\n" ); document.write( "The two points and the origin also desribe an isoceles right triangle with equals length sides of $\"R\"$ .
\n" ); document.write( "You can use the Pythaogorean theorem to find the hypotenuse.
\n" ); document.write( " $\"R%5E2%2BR%5E2=H%5E2\"$
\n" ); document.write( " $\"H%5E2=2R%5E2\"$
\n" ); document.write( " $\"H=sqrt%282%29%2AR\"$
\n" ); document.write( " $\"H=sqrt%282%29%2A%28D%2F2%29\"$
\n" ); document.write( " $\"H=sqrt%282%29%2A6\"$
\n" ); document.write( " $\"highlight%28H=6%2Asqrt%282%29%29\"$
\n" ); document.write( " \n" ); document.write( "

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