Question

Radius of a circle with a circumference of 5.9

Answer 1

r = 0.94

Step-by-step 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} (2\pi r)/(2\pi)=(C)/(2\pi) \\ \\ r=(C)/(2\pi) \end{gathered}`

Replace the known values and solve,

`r=(5.9)/(2\cdot\pi)\approx0.94`

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