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ICSE Class 9 Answered

If the perimeter of 2 circle are in ratio

2 :3 

A)what is the ratio of radio

B)find the ratio of their areas

Asked by pachusa.2 | 26 Mar, 2019, 07:31: PM
Expert Answer

The perimeter of 2 circle are in ratio 2 :3.

A) Let radii of the circles be r and R.

begin mathsize 16px style fraction numerator 2 πr over denominator 2 πR end fraction equals 2 over 3
straight r over straight R equals fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction end style

B) The ratios of their areas
begin mathsize 16px style Ratios space of space the space areas space of space two space circles equals πr squared over πR squared
rightwards double arrow Ratios space of space the space areas space of space two space circles equals fraction numerator begin display style straight r squared end style over denominator begin display style straight R squared end style end fraction

rightwards double arrow Ratios space of space the space areas space of space two space circles equals open parentheses straight r over straight R close parentheses squared equals open parentheses fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction close parentheses squared equals 4 over 9 end style
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