SSC MTS 2023 PYQ — Question 5

SSC MTS - 08 May 2023 - Shift 1 • Quantitative Aptitude • Q5

A wire is in the form of square with side 44 cm. It is bent to form a circle. What is the radius of the circle?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 28 cm.

The side length of the square is = 44 cm

The perimeter of a square = 4 × side length

⇒ Perimeter = 4 × 44 cm = 176 cm

When the wire is bent to form a circle, the length of the wire becomes the circumference of the circle.

⇒ circumference = 2πr

⇒ 176 = 2πr

⇒ r = 176 × 1/2 × 7/22 = 28 cm