Question

Find the length $\mathit{s}$ of the arc that subtends a central angle of measure 3 rad in a circle of radius 5 cm.

Short answer

The length of the arc is15 cm.

Step-by-step solution

Step 1. Given information

The given radius of $\text{circle}=5\text{cm}$and the central angle in radian$\theta$ is$3\text{\hspace{0.17em}rad}$

Step 2. Explanation

We will use the formula of arc length,

$s=r\theta$

Step 3. Calculation

$\begin{array}{l}\text{Thelengthof\hspace{0.17em}the\hspace{0.17em}arc\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}s=r\theta \\ s=5\text{x}3\\ s=15\end{array}$