What is formula for finding the length of an arc when giving radio and the angle at the center

The formula for finding the length of an arc ($L$) when given the radius ($r$) and the central angle ($\theta$) is:

$$L = \frac{\theta}{360^\circ} \times 2\pi r$$

where:

• $L$ is the arc length.
• $\theta$ is the central angle in degrees.
• $r$ is the radius of the circle.

Alternatively, if the angle $\theta$ is given in radians, the formula is:

$$L = r\theta$$