Question

Find the length of AB.A А.AB = [ ? ]m140°8 mB.Round your answer to the nearest hundredth.Enter

Answer 1

The length AB represents the length of the minor arc in the circle. The formula required to find the length is given as:

`\begin{gathered} l=(\theta)/(360)\text{ x 2}\pi r \\ \text{where }\pi\text{ =3.142} \\ \end{gathered}`

We substitute the values of the angle = 140 degrees and the radius= 8m, to find the length of the arc AB

`\begin{gathered} \text{Length(AB) =}(140)/(360)\text{ x 2 x 3.142 x 8} \\ \text{Length(AB) =0.3889 x 2 x 3.142 x 8} \\ \text{Length(AB)}=\text{ 19.55m} \end{gathered}`

In conclusion, the length AB = 19.55m