document.write( "Question 188033: There is a diagram with a square inside a circle. The circle is shaded in, but the square isnt. You have to find the area of the shaded region. The only information given is that the square has a base and a height of 4. How do you do that? \n" ); document.write( "

Algebra.Com's Answer #140948 by Alan3354(69443) $\"\"$ $\"About$

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There is a diagram with a square inside a circle. The circle is shaded in, but the square isnt. You have to find the area of the shaded region. The only information given is that the square has a base and a height of 4. How do you do that?
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\n" ); document.write( "The area of the shaded region is the area of the circle minus the area of the square.
\n" ); document.write( "The area of the square = 4*4 = 16 sq units.
\n" ); document.write( "The diameter of the circle is the diagonal of the square. Using Pythagoras:
\n" ); document.write( " $\"d%5E2+=+4%5E2+%2B+4%5E2\"$
\n" ); document.write( " $\"d+=+sqrt%2832%29\"$
\n" ); document.write( " $\"r+=+sqrt%2832%29%2F2\"$
\n" ); document.write( "Area of the circle = $\"pi%2Ar%5E2\"$
\n" ); document.write( "AC = pi*32/4 = 8pi
\n" ); document.write( "Shaded region = 8pi - 16
\n" ); document.write( " = ~ 9.1327 sq units \n" ); document.write( "

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