Correct Answer - Option 4 :

\(702\frac{1}{4}\pi \)
**Given:**

Sides of triangle = 28 cm, 45 cm, 53 cm

**Concept:**

The circum-radius of a right angled triangle is equal to half of the hypotenuse.

**Formula used:**

Area of circle = \(\pi \)r^{2}

**Calculation:**

∵ (28)^{2} + (45)^{2} = (53)^{2}

∴ The triangle formed by sides 28 cm, 45 cm and 53 cm is a right angled triangle.

∴ Circum-radius of the circle = 53/2 cm

∴ Area of the circle = \(\pi \) × (53/2)^{2}

= \(\pi \) × (2809/4)

= \(702\frac{1}{4}\pi \) cm^{2}