document.write( "Question 1043961: Three circles of radii 8.5, 11.9, and 15.7 cm are mutually tangent.
\n" ); document.write( "Find the area bounded by the three circles.\r
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Algebra.Com's Answer #659202 by Alan3354(69443)\"\" \"About 
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Three circles of radii 8.5, 11.9, and 15.7 cm are mutually tangent.
\n" ); document.write( "Find the area bounded by the three circles.
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\n" ); document.write( "If you mean the area bounded by the tangent points:
\n" ); document.write( "Label the centers:
\n" ); document.write( "P - 8.5
\n" ); document.write( "Q - 11.9
\n" ); document.write( "R - 15.7
\n" ); document.write( "The lines between the centers form a triangle PQR.
\n" ); document.write( "Label the sides p, q & r, side p opposite angle QPR, etc.
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\n" ); document.write( "Find the 3 angles:
\n" ); document.write( "Use the Cosine Law:
\n" ); document.write( "p^2 = q^2 + r^2 - 2qr*cos(P)
\n" ); document.write( "cos(P) = (8.5^2 - 11.9^2 - 15.7^2)/(-2*11.9*15.7) =~ 0.1856233
\n" ); document.write( "Angle P =~ 79.3 degs
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\n" ); document.write( "Find a 2nd angle the same way.
\n" ); document.write( "The 3rd angle is 180 - sum of the 1st 2.
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\n" ); document.write( "Find the area of the triangle. Heron's Law will work, or any method.
\n" ); document.write( "Subtract the area of each of the 3 sectors.
\n" ); document.write( "eg, sector of P = Area of P * (79.3/360)\r
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