Question 206927
The wheel completes a full revolution in 2 seconds. A full revolution means the wheel turns through 360 degrees. 

1) IN 10 seconds, the wheel will make {{{10seconds/2revpersecond = 5revolutions}}}
If each revolution is 360, then the total angle is {{{5*360 = 1800}}} degrees

2) You know the wheel makes 5 revolutions. If you take your finger, place it on a point on the circumference of the circle and then trace a full revolutuion, you end up back at the same point. The length of the circumference of a circle is given by {{{C = 2*pi*r}}}
So {{{C = 2*pi*40 = 80*pi}}}
That is the distance made on a single revolution. This circle makes 5 revolutions, so the {{{Distance = 5 * 80 * pi = 400*pi}}}