Question

radius of a circle with a circumference of 5.9

Answer 1

ANSWER

r = 0.94

EXPLANATION

The circumference of a circle of radius r is,

$C=2\pi r$

In this case, we know that the circumference is C = 5.9, and we have to find the radius. To do so, we have to solve the equation above for r, by dividing both sides by 2π,

$\begin{gathered} \frac{2\pi r}{2\pi}=\frac{C}{2\pi} \\ \\ r=\frac{C}{2\pi} \end{gathered}$

Replace the known values and solve,

$r=\frac{5.9}{2\cdot\pi}\approx0.94$

Hence, the radius is 0.94, rounded to the nearest hundredth.