SSC Selection Post 2020 PYQ — Question 70

SSC Selection Post - Matriculation Level 2020 - 9 Nov 2020 - Shift 1 • Quantitative Aptitude • Q70

The circumference of a circle exceeds its diameter by 30cm, The area in (cm2) of the circle is:

(Take π = 22722\over7

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 154.

πd − d = 30

d (π − 1) = 30

d = 30227−1=30157=14\frac{30}{\frac{22}{7} - 1} = \frac{30}{\frac{15}{7}} = 14

r = d/2 = 14/2 = 7

Area = πr2

= 227×72=154\frac{22}{7} \times 7^2 = 154