The ratio of the circumferences of two circles is 2: 3. What is the ratio of their areas? · ABC26GN4566
Subject: General Aptitude · Chapter: Area · Exam: M.B.A. 2008
The ratio of the circumferences of two circles is $2: 3$. What is the ratio of their areas?
(a)2 : 3
(b)4 : 9
(c)9 : 4
(d)None of these
Answer
Explanation
$\frac{2 \pi R_{1}}{2 \pi R_{2}}=\frac{2}{3} \Rightarrow \frac{R_{1}}{R_{2}}=\frac{2}{3} \Rightarrow \frac{\pi R_{1}^{2}}{\pi R_{2}^{2}}=\left(\frac{2}{3}\right)^{2}=\frac{4}{9}$.
Explanation as extracted from the printed page; notation may be imperfect.
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