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Answer :

Answer:

b)

Circumference Formula :

[tex]2\pi r[/tex]

[tex] \frac{120}{360}[/tex]

This is the ratio we can work out:

[tex] \frac{given \: angle}{revolution} = ratio[/tex]

[tex]arc = ratio \times circumference[/tex]

[tex]22 = \frac{120}{360} \times 2 \times \frac{22}{7} \times r[/tex]

[tex]22 = \frac{44}{21} x[/tex]

[tex]x = 22 \div \frac{41}{21} [/tex]

[tex]x = \frac{21}{2} [/tex]