Question

An object is traveling around a circle with a radius of 20 meters. If in 10 seconds a central angle of 1/5 radian is swept out, what is the linear speed of the object?

Answer 1

http://hyperphysics.phy-astr.gsu.edu/hbase/imgmec/avel.gif

from the picture above
$$
w=\cfrac{v}{r}, \pmatrix{w=\frac{\color{blue}{central\ angle}}{\color{blue}{time}}, v=linear\ velocity}\\
v=\cfrac{w}{r}
$$

Answer 2

angle should be in radians, but you already have it so