The angle of a sector of a circle radius 10.5 cm is 48(^o). Calculate the perimeter of the sector.
-
A.
25.4cm -
B.
25.4cm -
C.
25.6cm -
D.
29.8cm
Correct Answer: Option D
Explanation
The lenght of Arc AB = (frac{Q}{360}) 2(pi)r
= (frac{48}{360}) x 2(frac{22}{7}) x 10.5 = (frac{48}{360}) x 2(frac{22}{7}) x (frac{21}{2})
= (frac{4 times 22 times 3}{30} times frac{88}{10}) = 8.8cm
Perimeter = 8.8 + 2r = 8.8 + 2r
= 8.8 + 2(10.5)
= 8.8 + 21
= 29.8cm
There is an explanation video available below.