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 = \(\pi \)r2
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)
= \(702\frac{1}{4}\pi \) cm2