SarkariPYQ

SSC MTS 2022 PYQ — Question 51

SSC MTS - 25 July 2022 - Shift 1 • Quantitative Aptitude • Q51

Back to paper

The area of a square is 1296 cm2 and the radius of a circle is 76\frac{7}{6} of the length of a side of the square. What is the ratio of the perimeter of the square and the circumference of the circle? [Use π=227\pi=\frac{22}{7}]

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 6 : 11.

Let the side of the square be S cm and the radius of the circle be R cm.

Now,

Area of the square = 1296 cm2

S2 = 1296

⇒ S = 36 cm

Now,

⇒ R = (7/6)S = 42 cm

Now,

Perimeter of the square = 4S = 144 cm

Circumference of the circle = 2πR2\pi R = 2×227×422\times \frac{22}{7}\times 42 = 264 cm

Now,

The ratio of the perimeter of the square and the circumference of the circle = 144 : 264 = 6 : 11