SSC CGL 2022 PYQ — Question 67

The correct answer is option 4 i.e. 145.92 cm².

AB = 16 cm

Area of square = a²

Area of quadrant = $\pi r^2 \over 4$

Diagonal of square = $a\sqrt{2}$

Where, a = side of square

r = radius of quadrant

Diagonal of square ABCD = radius of quadrant APCQ = $a\sqrt{2}$ = $16\sqrt{2}$

Now, the Area of the shaded region = Area of the quadrant - the area of square 

⇒ Area of shaded region = ${\pi (16\sqrt{2})^2 \over 4} - {(16)^2}$

⇒ Area of shaded region = 3.14 × 128 - 256

⇒ Area of shaded region = 401.92 - 256

⇒ Area of shaded region = 145.92

Hence the area of the shaded region is 145.92 cm².