A circular arc whose radius is 4 cm makes an angle 45° at the centre. Find the perimeter of the sector formed. (Take π=22/7)

Correct option is A

Given:
Radius (r) = 4 cm
Angle at the center (θ) = 45°
Formula Used:
Length of the arc (L) = (θ/360°) × 2πr
Perimeter of the sector = Length of the arc + 2 × Radius
Solution:
1. Calculate the length of the arc (L):
L = (45°/360°) × 2 × (22/7) × 4
L = (1/8) × 2 × (22/7) × 4
L = (1/8) × (176/7)
L = 176/56
L = 22/7 cm
2. Calculate the perimeter of the sector:
Perimeter = L + 2r
Perimeter = (22/7) + 2 × 4
Perimeter = (22/7) + 8
Perimeter = (22/7) + (56/7)
Perimeter = 78/7 cm