Question

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

Answer 1

Solution:

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=\frac{\theta}{360}\times2\pi r \\ \\ r=\frac{|SU|}{2} \\ \\ r=\frac{37}{2} \\ \\ r=18.5 \end{gathered}$$\begin{gathered} l=\frac{209}{360}\times2(3.14)(18.5) \\ \\ l=67.4 \end{gathered}$

The length of the arc is 67.4 units