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

The angle of a sector of a circle is 108°. If the radius of the circle is 31/2cm, find the perimeter of the sector

A.

6 3/5cm

B.

6 4/5cm

C.

7 1/10cm

D.

10 2/5cm

E.

13 3/5cm,

Correct answer is E

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