Question

Find the length of WXExpress your answer as a fraction times (All info in figure)

Answer 1

Given:

VW = 5

m∠WVX = 60 degrees

Let's find the length of arc WX.

To find the length of arc WX, apply the formula below.

Apply the formula:

`L=2\pi r*(\theta)/(360)`

Where:

r is the radius = 5

θ is the measure of the central angle = 60 degrees.

Hence, we have:

`\begin{gathered} L=2\pi*5*(60)/(360) \\ \\ L=10\pi*(1)/(6) \\ \\ L=(10)/(6)\pi \\ \\ L=(5)/(3)\pi \end{gathered}`

Therefore, the length of arc WX is:

`(5)/(3)\pi`

ANSWER:

`(5)/(3)\pi`