Final answer:
The angle of 17π/10 radians spans 17/20 of a full circle, which can also be understood as covering 85% of the circle's circumference.
Step-by-step explanation:
The question asks about the fraction of a full circle that is spanned by an angle of 17π/10 radians. A full circle is 360°, which is equivalent to 2π radians. To find the fraction of the circle spanned by 17π/10, you divide the angle by the total angle in a full circle.
17π/10 ÷ 2π = 17/10 ÷ 2 = 17/20.
Therefore, the angle of 17π/10 radians spans 17/20 of a full circle. To provide additional context, if we were to convert this to a percentage, we could multiply by 100 to get 85%, which means this angle covers 85% of the circle's circumference.