document.write( "Question 909337: Diagram of circle with outer edge shaded. The outer circle has diameter 8 inches. The area of the shaded ring is equal to the are of the inner, non-shaded circle. What is the radius of the inner circle? Express your answer as a decimal to the nearest tenth. \n" ); document.write( "

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\n" ); document.write( "Diagram of circle with outer edge shaded. The outer circle has diameter 8 inches. The area of the shaded ring is equal to the are of the inner, non-shaded circle. What is the radius of the inner circle? Express your answer as a decimal to the nearest tenth.
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document.write( "Let radius of smaller, non-shaded, inner circle, be r
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document.write( "Then area of smaller, non-shaded circle is: 
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document.write( "Now, since the area of the smaller, non-shaded circle and the shaded area are equal, then
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document.write( "the area of the smaller, non-shaded circle and the shaded region = , or 
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document.write( "Area of larger circle is: , or 
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document.write( "Therefore, we get: 
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document.write( " ------ Factoring out GCF, 
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document.write( "  
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document.write( "r, or radius of smaller, non-shaded, inner circle = , or , or  ≈  inches  \n" );
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