Question

12. If SU = 37, find the length of SUR. leave answer in one decimal place

Answer 1

Given the circle with diameter SU as 37;

The angle subtended by the sector SUR;

`\begin{gathered} \theta=360^o-151^o \\ \theta=209^o \end{gathered}`

Then, the length l, of the arc is;

`\begin{gathered} l=(\theta)/(360)*2\pi r \\ \\ r=(|SU|)/(2) \\ \\ r=(37)/(2) \\ \\ r=18.5 \end{gathered}`
`\begin{gathered} l=(209)/(360)*2(3.14)(18.5) \\ \\ l=67.4 \end{gathered}`

The length of the arc is 67.4 units