document.write( "Question 255740: Express the length of the perimeter of a circle in terms of the area of the circle. Use A for the area in your answer. Perimeter = ?\r
\n" ); document.write( "\n" ); document.write( "Thanks so much for the help! \n" ); document.write( "

Algebra.Com's Answer #187998 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
The perimeter of a circle, also circumference is
\n" ); document.write( "(i) $\"C+=+2%2Api%2Ar\"$
\n" ); document.write( "The area of a circle is
\n" ); document.write( "(ii) $\"A+=+pi%2Ar%5E2\"$
\n" ); document.write( "solve the area formula for r and we get
\n" ); document.write( "(iii) $\"a%2Fpi+=+r%5E2\"$
\n" ); document.write( "(iv) $\"sqrt%28A%2Fpi%29+=+r\"$
\n" ); document.write( "substitute (iv) into (i) to get
\n" ); document.write( " $\"C+=+2%2Api%2Asqrt%28A%2Fpi%29\"$
\n" ); document.write( "which is simplified to
\n" ); document.write( " $\"C+=+2sqrt%28A%2A%28pi%29%29\"$ \n" ); document.write( "

\n" );