## anonymous one year ago How do I find the length of an arc that subtends a central angle??

1. anonymous

@ganeshie8

2. anonymous

@Here_to_Help15

3. anonymous

The ratio of the arc's length to the circumference of the circle is the same as the ratio of the angle subtended by the arc to an entire revolution of the circle. In other words, $\frac{L}{2\pi r}=\frac{\theta}{2\pi}~~\implies~~L=r\theta$ where $$r$$ is the radius and $$\theta$$ is the central angle.