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Answer :

Given the central angle of the arc is angle GHJ which is equal to 60 degrees and the radius of the circle is 5 units.

Now, the area of the sector GHJ is obtained as follows:

[tex]\begin{gathered} A=\frac{60}{360}\times\pi r^2 \\ =\frac{1}{6}\times\frac{22}{7}\times5\times5 \\ =13.09 \end{gathered}[/tex]

The area of the sector is 13.09 unit^2.