Question

Central= 127 Radius= 7. What is the length of the indicated arc (x)

Answer 1

Given:

$\begin{gathered} \theta\text{ = 127} \\ r\text{ = 7 mm} \end{gathered}$

Required:

Length of an arc x.

Explanation:

Length of an arc is given as,

$Length\text{ of an arc =}\frac{\theta}{360}\times2\pi\text{r}$

Length of an arc is calculated as,

$\begin{gathered} Length\text{ of an arc = }\frac{127}{360}\times2\times3.14\times7 \\ Length\text{ of an arc = 0.3528 }\times2\times3.14\times7 \\ Length\text{ of an arc = 15.5091 mm} \\ \end{gathered}$

Answer:

Thus the value of the length of an arc is 15.5091 mm