Question

For a circle of radius $r=\frac{10}{\pi }$ cm.
Angle subtended by arc $\theta ={12}^{\circ }$ .
What is the length of the arc in cm?

• A. $\frac{2}{3}cm$
• B. $\frac{1}{3}cm$
• C. 2 cm
• D. $\frac{3}{2}cm$

Answer 1

The correct option is A

$\frac{2}{3}cm$

The formula for arc length
$=\frac{\theta }{360}\times 2\pi r$

In this formula
$\theta ={12}^{\circ }$,
$r=\frac{10}{\pi }$

Arc length
$=\frac{12}{360}$ $\times$ 2 $\times$ $\pi$ $\times$ $\frac{10}{\pi }$

$=\frac{2}{3}cm$