document.write( "Question 478955: ABCD is a square and semicircles are constructed on each side of the square. if AB is 2, what is the area of the entire ? \n" ); document.write( "

Algebra.Com's Answer #328177 by Jstrasner(112) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "So for this one we need to find the area of the square and the 4 semicircles around it. The area of a square is the length times the width. Therefore:
\n" ); document.write( "2 x 2 = 4
\n" ); document.write( "Now we need to find the area of the 4 semicircles. The area of a whole circle is
\n" ); document.write( "π (pi) x radius^2
\n" ); document.write( "If the diameter of the circle is 2 then the radius is 1. Therefore the area of on of the semicircles is: 1/2 x π x 1^2 = (1/2)π and since there are 4 semicircles you multiply that by 4: (1/2)π x 4 = 2π
\n" ); document.write( "Now you simply need to add the area of the square and the semicircles:
\n" ); document.write( "4 + 2π = 4 + 2π
\n" ); document.write( "Since π is a different variable than a number, the two units cannot be added into on unit. However, you can leave the answer as: 4 + 2π
\n" ); document.write( "I hope this helps! \n" ); document.write( "

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