Question

How long is the arc subtended by an angle of $\frac{2\pi }{3}$ radians on a circle of radius $12$ cm?

• A. $2\pi$ cm
• B. $4\pi$ cm
• C. $6\pi$ cm
• D. $8\pi$ cm

Answer 1

The correct option is D $8\pi$ cm

We know that length of subtended arc $=$ $\theta r$
Here, $\theta =\frac{2\pi }{3}$
$r=12$ cm
So, $s=\frac{2\pi }{3}\times 12$
$s=8\pi$ cm