Question

Mention the formula to find the length of minor arc.

Answer 1

Draw a diagram for minor arc.

Let $r$ be the radius of the circle, AC is the minor arc whose length is $l$and $\theta$ is the angle subtended by the minor arc at center.

Write the formula to find the length of minor arc,

$$\begin{gathered} l=2\pi r\times \frac{\theta }{360°} \\ \Rightarrow l=\pi r\times \frac{\theta }{180°} \end{gathered}$$

Hence the formula to find the length of the minor arc is $\pi r\times \frac{\theta }{180°}$.