Respuesta :

Answer:

[tex]10.02[/tex] units

Step-by-step explanation:

[tex]FH = \frac{82}{360} \times 2 \pi r[/tex] (Multiplying the circumference of the circle by the arc's degree over the total degree of the circle will find the length of the arc [tex]FH[/tex])

[tex]FH = \frac{82}{360}\times 2 \pi (7)[/tex]

[tex]=\frac{82}{360}\times14\pi[/tex]

[tex]=\frac{287\pi}{90}[/tex]

[tex]=10.02[/tex] (to the nearest hundredth)

∴ The length of the arc [tex]FH[/tex] is 10.02 units to the nearest hundredth.

Hope this helps :)

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