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QID : 52 - If the radius of a circle is increased by 15% its area increases by _____.

Asked by aryap7964 6th December 2017, 4:08 PM
Answered by Expert
Answer:
begin mathsize 16px style Area equals πr squared
new space Area equals πR squared
straight R equals open parentheses 1 plus 15 over 100 close parentheses straight r
straight R equals 1.15 straight r
fraction numerator Area over denominator new space Area end fraction equals πr squared over πR squared equals fraction numerator πr squared over denominator straight pi open parentheses 1.15 straight r close parentheses squared end fraction
fraction numerator Area over denominator new space Area end fraction equals 1 over open parentheses 1.15 close parentheses squared
new space Area equals open parentheses 1.15 close parentheses squared Area
space space space space space space space space space space space space space space space space space equals 1.3225 space Area
space space space space space space space space space space space space space space space space space space equals space open parentheses 1 plus fraction numerator 32.25 over denominator 100 end fraction close parentheses Area
so space Area space increased space by space 32.25 percent sign end style
Answered by Expert 8th December 2017, 7:14 PM
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