In circle O, the m angle D O G = 92° and the length ofarc D Gis 16. Calculate the length of the radius.

Relation between circumference, C and the radius, r

C = 2π r

r = C / 2π

Relation betwee C, the angle and the arc

C/360° = arc / angle

C/360° = 16/92°

C = (16*360) / 92 =

Substitue:

r = [ (16*360) / 92] / 2π = 9.96 units [the same unit of the arc DG]