document.write( "Question 1065019: An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle. \n" ); document.write( "

Algebra.Com's Answer #680158 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+C+\"$ = the circumference of the circle
\n" ); document.write( "I can say:
\n" ); document.write( " $\"+%28+3%2Api+%29+%2F+C+=+72+%2F+360+\"$
\n" ); document.write( "Multiply both sides by $\"+360a+\"$
\n" ); document.write( " $\"+1080%2Api+=+72C+\"$
\n" ); document.write( " $\"+C+=+15%2Api+\"$
\n" ); document.write( "----------------
\n" ); document.write( "The formula for cicumference is:
\n" ); document.write( " $\"+C+=+2%2Api%2Ar+\"$
\n" ); document.write( " $\"+15%2Api+=+2%2Api%2Ar+\"$
\n" ); document.write( " $\"+r+=+15%2F2+\"$
\n" ); document.write( " $\"+r+=+7.5+\"$ m
\n" ); document.write( "----------------
\n" ); document.write( "You can get another opinion, also\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );