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ICSE Class 9 Answered

the areas of two circles are in a ratio 4:9 find the ratio between their circumference

Asked by dhruvassaravana | 09 Jan, 2018, 10:18: PM
Expert Answer
begin mathsize 16px style Let space the space radius space of space one space circle space be space straight r space and space the space radius space of space other space circle space be space straight R.
Then comma space we space have
πr squared over πR squared equals 4 over 9
rightwards double arrow straight r squared over straight R squared equals 4 over 9
rightwards double arrow straight r over straight R equals 2 over 3
Now comma space ratio space of space circumferences space of space two space circles space is space given space by
fraction numerator 2 πr over denominator 2 πR end fraction equals straight r over straight R equals 2 over 3 end style
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