document.write( "Question 1148128: In the diagram to the bottom, AB is the diameter of the large circle. The smaller circles both have their centers on AB, and both are tangent to each other and to the large circle. If AC is 4/5 the length of AB, what fraction of the diagram is shaded? \n" ); document.write( "

Algebra.Com's Answer #769505 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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In the diagram to the bottom, AB is the diameter of the large circle.
\n" ); document.write( " The smaller circles both have their centers on AB, and both are tangent to each other and to the large circle.
\n" ); document.write( " If AC is 4/5 the length of AB, what fraction of the diagram is shaded
\n" ); document.write( ":
\n" ); document.write( "Let the diameter of the larger circle = 5
\n" ); document.write( "then
\n" ); document.write( "the diameter of the medium circle = 4
\n" ); document.write( "and
\n" ); document.write( "the diameter of small circle = 1
\n" ); document.write( "then
\n" ); document.write( "2.5 = radius of the larger circle
\n" ); document.write( "2 = radius of the middle circle
\n" ); document.write( ".5 = radius of the smaller circle
\n" ); document.write( ":
\n" ); document.write( " $\"%28pi%2A2.5%5E2%29+-+%28pi%2A2%5E2%29+-+%28pi%2A.5%5E2%29\"$ = 6.283
\n" ); document.write( ":
\n" ); document.write( " $\"6.283%2F%28pi%2A2.5%5E2%29\"$ = .32 = $\"32%2F100\"$ = $\"8%2F25\"$ is the shaded area \n" ); document.write( "

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