SSC MTS 2022 PYQ — Question 73

SSC MTS - 19 July 2022 - Shift 1 • Quantitative Aptitude • Q73

The area of a circle is 15400 cm2 . What is the positive difference between the radius and the circumference of the circle? [Use π = 22/7]

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 370 cm. 

Area of circle = πr2

Circumference of the circle = 2πr

Area of circle = 15400 cm2

⇒ π\pi r2 = 15400

⇒  22/7 × r2  = 15400

⇒ r2  = 700 × 7

⇒ r = 70

Now, circumference = 2πr

circumference = 2 × 22/7 × 70

circumference = 440 cm

Now the required difference = 440 - 70 = 370 cm.