document.write( "Question 1117513: A spherical triangle on a sphere has an area of 419 sq.m. Find the radius of the sphere if the spherical excess of the triangle is 60 degrees. \n" ); document.write( "
Algebra.Com's Answer #732620 by ikleyn(52787)\"\" \"About 
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document.write( "On a sphere of a radius R, the spherical area of a triangle \r\n" );
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document.write( "Spherical Area = \"R%5E2%2A%28A+%2B+B+%2B+C+-+pi%29\",\r\n" );
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document.write( "where A, B and C are spherical angles of the triangle in radians and the value  \"A%2BB%2BC-pi\"  is called  \r\n" );
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document.write( "\"the spherical excess of the triangle\"  (see the link  http://mathworld.wolfram.com/SphericalTriangle.html ).\r\n" );
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document.write( "So, from the given data,  \"R%5E2\" = \"419%2F%28%28pi%2F3%29%29\" = \"%283%2A419%29%2F3.14\" = 400.3185.\r\n" );
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document.write( "Therefore, the radius of the sphere is about  \"sqrt%28400%29\" = 20 meters.\r\n" );
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