Answer:
[tex]r\approx 162~units[/tex]
Step-by-step explanation:
The Circumference of a Circle
The circumference is the arc length of the circle.
A circle with radius r has a circumference calculated by:
[tex]C=2\pi\cdot r[/tex]
If we are given the circumference, the radius can be calculated by solving the equation for r:
[tex]\displaystyle r=\frac{C}{2\pi}[/tex]
The circumference of the circle is 1,017.36 units. Calculating the radius:
[tex]\displaystyle r=\frac{1,017.36}{2\pi}[/tex]
[tex]\mathbf{r\approx 162~units}[/tex]