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