Question

A circle has a circumference of 1{,}017.361,017.361, comma, 017, point, 36 units. What is the radius of the circle?

Answer 1

Answer:

$r\approx 162~units$

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:

$C=2\pi\cdot r$

If we are given the circumference, the radius can be calculated by solving the equation for r:

$\displaystyle r=\frac{C}{2\pi}$

The circumference of the circle is 1,017.36 units. Calculating the radius:

$\displaystyle r=\frac{1,017.36}{2\pi}$

$\mathbf{r\approx 162~units}$