The ratio of the radii of two circles is 3 : 2. What is the ratio of their circumferences? · ABC26GN4564

Subject: General Aptitude · Chapter: Area · Exam: S.S.C. 2010

The ratio of the radii of two circles is 3 : 2. What is the ratio of their circumferences?
(a)2 : 3
(b)3 : 2
(c)4 : 9
(d)None of these
Answer
Answer (as printed): B
Explanation
Let the radii of the two circles be $3 r$ and $2 r$ respectively, $$\text { Then, required ratio }=\frac{2 \pi(3 r)}{2 \pi(2 r)}=\frac{3}{2}=3: 2 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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