SSC CGL 2021 PYQ — Question 58

SSC CGL - 17 Aug 2021 - Shift 3 • Quantitative Aptitude • Q58

What is the area of the square (in cm2) whose vertices lie on a circle of radius 5 cm?

Show answer & explanation

Correct answer: B

Explanation

 The correct answer is Option 2 i.e ​​​​​​50.

Let the side of a square = a unit.

Diameter of a circle  = 10 cm

Diameter of the circle = Diagonal of the square = 10

By using Pythagoras theorem,

⇒ a2 + a2 = 102

⇒ 2a2 = 100

⇒ a2 = 50.

Area of square = a2 = 50 cm2