Question 456660

So, convert 75° to radians and multiply by 2.  Now you could go through the process of setting up a proportion:


{{{(pi)/180=theta/75}}}} then solve for {{{theta}}}


Or, use a much easier way:


write angle {{{75 }}} as a sum {{{45 + 30}}}


And we know that {{{45degrees = (pi)/4}}} and {{{30degrees  = (pi)/6}}}, so {{{75degrees }}} must equal {{{(pi)/4 + (pi)/6 = 5(pi)/12}}}



Then, multiplied by the radius, {{{r=2}}}, your arc length is {{{5(pi)/6}}}} which is {{{2.62}}}