document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #558299 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "area of the circle is \"A=pi%2Ar%5E2\" where \"r=radius\"\r
\n" ); document.write( "\n" ); document.write( " you also know that diameter \"D=2r\"; consequently,\"D%5E2=%282r%29%5E2=4r%5E2\"
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\n" ); document.write( "so, when you know the \"diameter\" and want to use it to find area, then you have to express \"r%5E2\" in terms of \"D%5E2\":\r
\n" ); document.write( "\n" ); document.write( "\"D%5E2=4r%5E2\"=>\"r%5E2=D%5E2%2F4\" or \"r%5E2=%281%2F4%29D%5E2\"\r
\n" ); document.write( "\n" ); document.write( "then go to \"A=pi%2Ar%5E2\" and substitute \"%281%2F4%29D%5E2\" for \"r%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"A=pi%2A%281%2F4%29D%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"A+=+%28pi%2F4%29%2AD%5E2\"
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