Question

How do you find the length of an arc of a circle with a radius of 17 cm if the arc subtends a central angle of 45 degrees?

Answer 1

`L=4.25pi~=13.35 " cm"`

Explanation:

Say the Length of Arc is `L`
Radius is `r`
Angle(in radian) subtended by the arc is `theta`

Then the formula is `": "L=rtheta`

`r=17cm`

`theta=45^o=pi/4`

`=>L=17xxpi/4=4.25pi`