SSC CGL 2017 PYQ — Question 53

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q53

The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 4140π sq. cm

Understanding

Application

We know that:

Area of a circle = πr2

The radii of two concentric circles are 68 cm and 22 cm.

So,

The area of the closed figure bounded by the boundaries of the circles

= π × (r12 – r22)

= π × (682 – 222)

= π × (68 + 22) × (68 – 22)

= π × 90 × 46

= 4140π sq. cm