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

`r\approx 162~units`

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=(C)/(2\pi)`

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

`\displaystyle r=(1,017.36)/(2\pi)`

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