document.write( "Question 1014567: Find the distance along an arc on the surface of the earth that subtends a central angle of 7 minutes (1 minute = 1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places) \r
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document.write( "Answer in miles \n" );
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Algebra.Com's Answer #630919 by Theo(13342)![]() ![]() You can put this solution on YOUR website! arc length = central angle degrees of the arc / 360 * 2 * pi * r\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your central angle is 7 minutes which is equal to 7/60 degrees because 1 minute = 1/60 degrees, therefore 7 minutes = 7/60 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "arc length is therefore (7/60) / 360 * 2 * pi * r\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since r = 3960 miles, this equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "arc length = (7/60) / 360 * 2 * pi * 3960\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify this to get arc length = 8.063421144 miles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |