Question

A circle has a circumference of 1,017.36 units. What is the radius of the circle?

Answer 1

R = 161.917872904

Explanation:

formula for circles circumference is , C = 2*pi*R

so we work backwards now we plug in circumference

1017.36 = 2*pi*R

508.68 = pi*R

R = 161.917872904

SO radius is R = 161.917872904

Answer 2

`\huge\boxed{162\ units}`

Explanation:

`\text{The formula of a circumference of a circle:}\\\\C=2\pi r\\\\r-radius\\\\\text{Substitute}\\\\C=1,017.36\\\\1,017.36=2\pi r\qquad\text{divide both sides by}\ 2\pi\\\\(1,017.36)/(2\pi)=(2\pi r)/(2\pi)\\\\r=(508.68)/(\pi)\qquad\text{use}\ \pi\approx3.14\\\\r\approx(508.68)/(3.14)\\\\r\approx162`