SOLUTION: Why does the formula for area of a circle work? Such as¼ • π • d² , why divide by 1/4 to get the area?

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Question 920327: Why does the formula for area of a circle work? Such as¼ • π • d² , why divide by 1/4 to get the area?
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

area of the circle is where
you also know that diameter ; consequently,

so, when you know the and want to use it to find area, then you have to express in terms of :
=> or
then go to and substitute for


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