Find the length of an arc of a circle of radius 5 cam subtending a central angle measuring `15^0dot`

Options

A. `5pi//12cm`
B. `7pi//12cm`
C. `pi//12cm`
D. `pi//5cm`

Answer

A

Explanation

We know length of arc of a circle `=2pir(theta)/(360)`
where 'r' is the radius and `theta` is the central angle . So , `r=5, theta=15^(@)`
`therefore"Length"=2pixx5xx(15^(@))/(360^(@))=(5pi)/(12)`cm