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15 Feb 2022, 22:04
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
61% (01:58) correct
39%
(02:17)
wrong
based on 18
sessions
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If an arc of 45* on circle A has the same length as an arc of 30* on circle B, then the ratio of the area of circle A to the area of circle B is which of the answers?
A. \(\frac{4}{9}\)
B. \(\frac{2}{3}\)
C. \(\frac{5}{6}\)
D. \(\frac{3}{2}\)
E. \(\frac{9}{4}\)
A. \(\frac{4}{9}\)
B. \(\frac{2}{3}\)
C. \(\frac{5}{6}\)
D. \(\frac{3}{2}\)
E. \(\frac{9}{4}\)
globaldesi
Joined: 28 Jul 2016
Last visit: 23 Feb 2026
Posts: 1,140
Given Kudos: 67
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE:Project Management (Finance: Investment Banking)
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15 Feb 2022, 22:25
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\(\frac{45}{360}*\)2\(\pi\)\(r_1\)=\(\frac{30}{360}*\)2\(\pi\)\(r_2\)
or
\(\frac{1}{8 }\)* \(r_1\)= \(\frac{1}{12}\)*\(r_2\)
\(\frac{r_1}{r_2}\)=\(\frac{ 8}{12 }\)= \(\frac{2}{3}\)
ratio of areas would be
\(\frac{[r_1]^2}{[r_2]^2}\)=\(\frac{ 2^2}{3^2}\)=\( \frac{4}{9}\)
A imo
or
\(\frac{1}{8 }\)* \(r_1\)= \(\frac{1}{12}\)*\(r_2\)
\(\frac{r_1}{r_2}\)=\(\frac{ 8}{12 }\)= \(\frac{2}{3}\)
ratio of areas would be
\(\frac{[r_1]^2}{[r_2]^2}\)=\(\frac{ 2^2}{3^2}\)=\( \frac{4}{9}\)
A imo
