Question

The question says “In the circle below, segment AB is a diameter. If the length of arc ACB is 6 *pie* what is the length of the radius of the circle

Answer 1

Given length or arc = 6π

The formula for length of arc is

`\begin{gathered} L_(Arc)=(\theta)/(360)*2\pi r \\ \\ \text{ since }L_(Arc)=6\pi \\ \\ \theta=180 \end{gathered}`
`\begin{gathered} \Rightarrow6\pi=(180)/(360)*2\pi r \\ \\ \Rightarrow r=(6\pi*360)/(180*2\pi)=6 \end{gathered}`

Hence, the length of the radius is 6 units