SSC CHSL 2024 PYQ — Question 51

The correct answer is option 4 i.e. $8\sqrtπ$ cm.

Given,

Radius of circle = 2√2 cm

We know,

Area of square = a²

Area of semi-circle = πr²/2

Perimeter of square = 4a

Where, a = side of square and r = radius of the circle

Now, according to the question;

Area of square = Area of semi-circle

⇒ a² = π × (2√2)²/2

⇒ a = 2√π

Now, perimeter of the square = 4a = 4 × 2√π

⇒ 8√π cm