A circle's radius is increased by 10%. By what percentage does its area increase?

Mathematics

1 answer:

IrinaK [193]3 years ago

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Answer:

Step-by-step explanation:

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X+2(x+3(x+4(x+5)))=153

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Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

$4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1$

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A circle's radius is increased by 10%. By what percentage does its area increase?​

A circle's radius is increased by 10%. By what percentage does its area increase?