Home » The angle of a sector of s circle, radius 10.5cm, is 48 o, Calculate the…

The angle of a sector of s circle, radius 10.5cm, is 48 o, Calculate the…

The angle of a sector of s circle, radius 10.5cm, is 48 o, Calculate the perimeter of the sector
  • A.
    8.8cm
  • B.
    25.4cm
  • C.
    25.6cm
  • D.
    28.8cm
Correct Answer: Option D
Explanation

Length of Arc AB = (frac{theta}{360}) 2(pi)r
= (frac{48}{360}) x 2(frac{22}{7}) x (frac{21}{2})
= (frac{4 times 22 times times 3}{30}) (frac{88}{10}) = 8.8cm
Perimeter = 8.8 + 2r
= 8.8 + 2(10.5)
= 8.8 + 21
= 29.8cm