Question

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

Answer 1

Answer:

So, the arc length is $24\pi$

Step-by-step explanation:

We are given

diameter =36m

so, we can find radius

$r=\frac{36}{2}=18m$

and angle as

$\theta=240$

Since, it is in degree

so, we can change it in radian

$\theta=240\times \frac{\pi}{180}$

$\theta=\frac{4\pi}{3}$

now, we can find arc length

$L=r\times \theta$

now, we can plug values

$L=18\times \frac{4\pi}{3}$

$L=24\pi$