SSC CHSL 2020 PYQ — Question 53

SSC CHSL - 19th October 2020 - Shift 2 • Quantitative Aptitude • Q53

The circumference of a circle is 22 cm. What will be the area of the quadrant of that circle?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 9.625 cm2

Understanding Application

The circumference of a circle = 2πr

The area of the quadrant of a circle = (1/4)πr2

The circumference of the circle

⇒ 2πr = 22 cm

⇒ 2 × (22/7) × r = 22

⇒ r = 3.5 cm

The area of the quadrant of the circle

⇒ (1/4)πr2 = (1/4) × (22/7) × 3.52

⇒ 77/8

⇒ 9.625 cm2