Question : The ratio of areas of two circles is 81 : 121. What will be the ratio of their circumferences?
Option 1: 9 : 11
Option 2: 121 : 81
Option 3: 11 : 9
Option 4: 81 : 121
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 9 : 11
Solution :
Given,
${{A{_1}}}:{A{_2}}=81:121$
Area $\propto$ circumference$^2$
⇒ $\frac{C{_1}}{C{_2}}=\frac{\sqrt{A{_1}}}{\sqrt {A{_2}}}$, where $C{_1}\text{ and }C{_2}$ are the circumference, and $A{_1}\text{ and }A{_2}$ are the area.
⇒ $\frac{C{_1}}{C{_2}}=\frac{\sqrt{81}}{\sqrt{121}}$
⇒ $\frac{C{_1}}{C{_2}}=\frac{9}{11}$
Hence, the correct answer is 9 : 11.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
