Correct Answer - Option 3 : 64 m
Given:
Radius of circle, r = 21 m
Sector angle = 60°
Formula used:
Perimeter of sector = θ/360° × 2πr + 2r
Calculation:
Perimeter of sector = θ/360° × 2πr + 2r
⇒ Perimeter of sector = (60°/360°) × 2 × 21 × 22/7 + 2(21)
⇒Perimeter of sector = (60 × 2 × 21 × 22)/(360 × 7) + 42
⇒ Perimeter of sector = 22 + 42 = 64 m
∴ Perimeter of sector is 64 m.