document.write( "Question 1194246: The central angle corresponding to a circular brake shoe measures 60°. To two decimal places, how long is the curved surface of the brake shoe if the length of the radius is 9 in.? \n" ); document.write( "
Algebra.Com's Answer #826384 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Answer: 9.42 inches\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Work Shown:
\n" ); document.write( "x = central angle = 60 degrees
\n" ); document.write( "r = radius = 9 inches
\n" ); document.write( "L = arc length
\n" ); document.write( "L = (x/360)*2*pi*r
\n" ); document.write( "L = (60/360)*2*pi*9
\n" ); document.write( "L = 3*pi
\n" ); document.write( "L = 9.42477796076938
\n" ); document.write( "L = 9.42\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notes:
\n" ); document.write( "
  • I used the calculator's stored version of pi to get the most accuracy possible. If your teacher requires you to use the approximation pi = 3.14, then be sure to follow those instructions.
  • The x/360 portion takes a fractional amount of the circumference C = 2*pi*r; hence the (x/360)*2*pi*r

\n" ); document.write( "
\n" ); document.write( "
\n" );