Question

Referring to the figure, find the length of arc AB.Round the answer to the nearest hundredth.

Answer 1

Given:

$r=4\operatorname{cm}\text{ ; }\theta=100^{\circ}$

$\text{Length of the arc=2}\pi(r)(\frac{\theta}{360})$

$\begin{gathered} \text{Length of the arc=}2\times\frac{22}{7}\times4\times\frac{100}{360} \\ \text{Length of the arc=}\frac{17600}{2520} \\ \text{Length of the arc=}6.98\text{ cm} \end{gathered}$