Question

Find the length of FG, Express your answer as a fraction times pie.

Answer 1

Given:

EF = 2

m∠FEG = 144 degrees.

Let's fid the length of arc FG.

To find the length of arc FG, apply the formula:

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

Where:

r is the radius = 2

θ is the central angle = 144 degrees.

Thus, we have:

`\begin{gathered} L=2\pi*2*(144)/(360) \\ \\ L=4\pi*(2)/(5) \\ \\ L=(8)/(5)\pi\text{ } \end{gathered}`

Therefore, the length of arc FG as a fraction times pi is:

`(8)/(5)\pi`

ANSWER:

`(8)/(5)\pi`