SSC CGL 2022 PYQ — Question 71

SSC CGL - 06 Dec 2022 - Shift 1 • Quantitative Aptitude • Q71

A wire is in the form of square with side 11 cm. It is bent to form a circle. What is the radius of the circle?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 7 cm.

Given:

Side of square = 11 cm

Concept Used:

Perimeter of square = 4a

Circumference of circle = 2πr2\pi r

If a wire is bent to change the shape, then their perimeter is same.

Explanation:

ccording to the given question,

4a = 2πr2\pi r

⇒ 4×11=2×227×r{4 \times 11} = 2 \times {22 \over 7} \times r

⇒ r = 7

Hence the radius of the circle thus formed is 7 cm.