Answered

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

Find The Length Of FG Express Your Answer As A Fraction Times Pie class=

Sagot :

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:

[tex]L=2\pi r\times\frac{\theta}{360}[/tex]

Where:

r is the radius = 2

θ is the central angle = 144 degrees.

Thus, we have:

[tex]\begin{gathered} L=2\pi\times2\times\frac{144}{360} \\ \\ L=4\pi\times\frac{2}{5} \\ \\ L=\frac{8}{5}\pi\text{ } \end{gathered}[/tex]

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

[tex]\frac{8}{5}\pi[/tex]

ANSWER:

[tex]\frac{8}{5}\pi[/tex]

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