Question 1009969
<pre>
Find the number of degrees subtended at the centre of a 
circle by an arc whose length is 0.357 times the radius.

{{{drawing(400,400,-1.3,1.3,-1.3,1.3,
red(arc(0,0,.8,-.8,35,55)),
locate(.75,.78,s=0.357r), locate(.2,.28,theta),locate(.48,.35,r),
circle(0,0,1),line(0,0,cos(.6),sin(.6)),line(0,0,cos(.6+.357),sin(.6+.357)) )}}}

By definition the angle <font face="symbol">q</font> in radians (not degrees) is
given by:

{{{theta}}}{{{""=""}}}{{{s/r}}}{{{""=""}}}{{{0.357r/r}}}{{{""=""}}}{{{0.357}}}radians.

To change radians to degrees multiply by {{{"180°"/pi}}}:

{{{0.357("180°"/pi)}}}{{{""=""}}}{{{"20.45459329°"}}}

Edwin</pre>