Question 1153217

The length of an arc, {{{s}}}, is given by:
 
{{{s = r*theta}}}
 
where:
{{{s}}} = arc length
{{{r}}} = radius 
{{{theta}}} = angle in radians
 
The radius of the disc is {{{r = 10in}}}  and the angle the spider crawled through is {{{54}}}°.  We need to convert the angle from degrees to radians.  
There are {{{pi}}} radians in {{{180}}}°, so we can set up a proportion to determine the angle {{{theta}}} in radians:
 
  {{{54/180=  theta /pi}}}
{{{54pi/180=  theta }}}
{{{theta=0.9425 }}}radians
 

{{{s = 10in*(0.9425 ) = 9.43in }}}

how far did the spider crawl? 

answer is: about {{{9.43in }}}