Question

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

Answer 1

STEP 1:

Write out the formula

The length AB represents an arc

`\text{Length of arc (AB)=}(\theta)/(360)*2\pi r`

The given values are angle=140 degree and radius = 8metres

STEP 2:

Substitute the given values into the formula.

`\begin{gathered} AB=(\theta)/(360)*2\pi r \\ =(140)/(360)*2*(22)/(7)*8 \\ =(140*2*22*8)/(360*7) \\ =(49280)/(2520) \\ =19.56m \end{gathered}`