# How do you find arc length of an arc that subtends a central angle of 60 degrees in a circle with radius 25m?

Apr 20, 2018

$\text{length "~~26.18" m to 2 dec. places}$

#### Explanation:

$\text{the length of an arc given it subtends a known angle at}$
$\text{the centre is}$

$\text{arc length (l) "="circumference "xx"fraction of circle}$

$\Rightarrow l = 2 \pi r \times \frac{60}{360}$

$\textcolor{w h i t e}{l} = 2 \pi \times 25 \times \frac{1}{6} = \frac{25 \pi}{3} \approx 26.18 \text{ m}$