The angle of a sector of a circle is 108°. If the radius of the...

The angle of a sector of a circle is 108°. If the radius of the circle is 3\(\frac{1}{2}\)cm, find the perimeter of the sector

A. 6 \(\frac{3}{5}\)cm
B. 6 \(\frac{4}{5}\)cm
C. 7 \(\frac{1}{10}\)cm
D. 10 \(\frac{2}{5}\)cm
E. 13 \(\frac{3}{5}\)cm,

Perimeter of sector = \(\frac{\theta}{360°} \times 2\pi r + 2r\)

= \(\frac{108}{360} \times 2 \times \frac{22}{7} \times \frac{7}{2} + 2(\frac{7}{2})\)

= \(6 \frac{3}{5} + 7\)

= \(13 \frac{3}{5} cm\)

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