What is the area of a circle whose radius is equal to the side of a square whose perimeter is 196 metres?

A 7176 sq. m

B 7546 sq. m

C 7284 sq. m

D 7956 sq. m

E None of these

Correct Answer: Option B

Let ‘s’ be the side of the square.

Perimeter of square = 196 m

⇒ 4s = 196

⇒ s = 196/4

⇒ s = 49 m

Radius of circle = r = Side of a square with perimeter 196 sq.m = 49 m

∴ Area of circle = πr² = π × 49² = π × 49 × 49 = 7546 sq.m