Question

central angle 120° d = 12.6 . find the length of the arc , and perimeter​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Arc length = 13.2

Perimeter = 25.8

Step-by-step explanation:

Given:

Central angle is, $\theta=120^\circ$.

The diameter is, $d=12.6$.

Thus, the radius is $r=\frac{d}{2}=6.3$.

Calculate the length of the arc.

$\begin{aligned}\text{Arc length}&=2\pi r\frac{\theta}{360^\circ}\\&=2\left(\frac{22}{7}\right)(6.3)\left(\frac{120^\circ}{360^\circ}\right)\\&=13.2\end{aligned}$

Calculate the perimeter.

$\begin{aligned}\rm{Perimeter}&=\text{Arc length}+2\rm{r}\\&=13.2+2\times6.3\\&=13.2+12.6\\&=25.8\end{aligned}$