Find the area of a semicircular path whose perimeter is 72 cm.

- 196 cm2
- 308 cm2
- 154 cm2
- 140 cm2

Option 2 : 308 cm2

**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 × r^{2}

**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 × r^{2} = ½ × 22/7 × 14 × 14

⇒ 22 × 14

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