SSC CPO 2019 PYQ — Question 101

The correct answer is option 4 i.e. 96.

Given :

Side of equilateral triangle = 24 cm

In radius of equilateral triangle = Side/2√3          ------ (1)

Area of square = (diagonal)²/2         ----- (2)

Calculations :

Using equation (1), we get

⇒ In radius = $\frac{24}{2\sqrt3}$

⇒ $4\sqrt3$ cm

Diagonal of square = 2 × radius of circle

⇒ Diagonal = $2 \times 4\sqrt3$

⇒ $8\sqrt3$ cm

Using equation (2), we get

⇒ Area of square = $\frac{(8\sqrt3)^2}{2}$

⇒ 192/2

⇒ 96 cm²