document.write( "Question 260303: Okay. So how do you find the area of a semi-circle if you already have the perimeter? I am solving a problem where the perimeter is 20 and it wants me to find the area of the semi circle. plz help me out!
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document.write( "Thankss! \n" );
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Algebra.Com's Answer #191728 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! Lets start with the circumference formula as \n" ); document.write( "(i) C = 2*pi*r \n" ); document.write( "and the area formula as \n" ); document.write( "(ii) A = pi*r^2. \n" ); document.write( "solve the circumference for pi as \n" ); document.write( "(iii) pi = C/(2r) \n" ); document.write( "Now put that into the area formula as \n" ); document.write( "(iv) A = C/(2r)*r^2 \n" ); document.write( "which is \n" ); document.write( "(v) A = Cr/2 \n" ); document.write( "From (i) the radius is \n" ); document.write( "(vi) r = C/(2pi) \n" ); document.write( "putting (vi) into (v) we get \n" ); document.write( "(vii) A = C^2/(4pi) - - - This is the formula you want. \n" ); document.write( "-- \n" ); document.write( "You were given perimeter (circumference) = 20 \n" ); document.write( "So, \n" ); document.write( "from (vii) we get \n" ); document.write( "A = 20^2/(4pi) = 400/(4pi) = 100/pi \n" ); document.write( " |