Mathematics

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 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: Option E
Explanation

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