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

$\text{Length of arc (AB)=}\frac{\theta}{360}\times2\pi r$

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

STEP 2:

Substitute the given values into the formula.

$\begin{gathered} AB=\frac{\theta}{360}\times2\pi r \\ =\frac{140}{360}\times2\times\frac{22}{7}\times8 \\ =\frac{140\times2\times22\times8}{360\times7} \\ =\frac{49280}{2520} \\ =19.56m \end{gathered}$