Question

Circle F has a diameter of 36m and = 240o. Find the length of . Leave your answer in terms of pi.

Answer 1

So, the arc length is
`24\pi`

Explanation:

We are given

diameter =36m

so, we can find radius

`r=(36)/(2)=18m`

and angle as

`\theta=240`

Since, it is in degree

so, we can change it in radian

`\theta=240* (\pi)/(180)`

`\theta=(4\pi)/(3)`

now, we can find arc length

`L=r* \theta`

now, we can plug values

`L=18* (4\pi)/(3)`

`L=24\pi`