Question

If the radius of the circle is 6cm and $\theta$ is ${30}^{\circ }$, then the length of the arc of the circle is .

• A. 32
• B. 31.4
• C. 3.14
• D. 31

Answer 1

The correct option is C 3.14

Given: radius = 6cm
$\theta ={30}^{\circ }$
Length of arc $=\frac{\theta }{{360}^{\circ }}\times 2\pi r$
Substituting the values of $\theta$ and radius, we get
Length of arc $=\frac{{30}^{\circ }}{{360}^{\circ }}\times 2\times 3.14\times 6⟹\text{Length of arc}=3.14cm$