Question

explain in radians and also in degrees the angle of a regular polygon of (i)40 sides (ii) n sides

Answer 1

total sum of all angles =(n-2)×180
(1) (40-2)×180=38×180=6840
angle in degrees =6840/40=171degree
in radians,π radians=180
1degree=π/180 radian
171 degree=π/180×171=171π/180 radian