Correct Answer - Option 2 : 308 cm
2
Given:
Perimeter of semicircular path = 72cm
Formula Used:
Perimeter of semicircular path = π × r + 2r = (Π + 2)r
Where, r = radius of semicircular path
Area of semicircular path = ½ × π × r2
Calculation:
Perimeter of semicircular path = (π + 2)r = 72 cm
⇒ (22/7 + 2) × r = 72
⇒ (36/7) × r = 72
⇒ r = 14 cm
⇒ Area of semicircular path = ½ × π × r2 = ½ × 22/7 × 14 × 14
⇒ 22 × 14
∴ 308 cm2