document.write( "Question 255282: 1. A circle has radius of 12. if an arc of the circle has measure 100.. find the length of the arc in terms of PI?? \r
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document.write( "2. In terms of PI, how much farther does a 70 cm diameter bicycle tire travel in one revolution then a 50 dm diameter bicycle tire??\r
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document.write( "3.In a circle the length of an arc with measure 120 is 14PI. find the the radius of the circle?\r
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document.write( "Thank you in advance \n" );
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Algebra.Com's Answer #187562 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A circle has radius of 12. if an arc of the circle has measure 100.. find the length of the arc in terms of PI? \n" ); document.write( "I assume you mean an arc of 100º \n" ); document.write( "The circumference of the circle it 2pi*r = 24pi (for all 360º) \n" ); document.write( "The arc is 100/360 of that, \n" ); document.write( "= 24pi*(100/360) = 20pi/3 units \n" ); document.write( "--------------------------------- \n" ); document.write( "2. In terms of PI, how much farther does a 70 cm diameter bicycle tire travel in one revolution then a 50 dm diameter bicycle tire?? \n" ); document.write( "I'll assume it's 50 cm, not 50 dm \n" ); document.write( "Each revolution moves the bike the circumference of the wheel. \n" ); document.write( "The diff is 2pi*70 - 2pi*50 \n" ); document.write( "= 2pi*(70-50) \n" ); document.write( "= 40pi cm \n" ); document.write( "---------- \n" ); document.write( "3.In a circle the length of an arc with measure 120 is 14PI. find the the radius of the circle? \n" ); document.write( "120º is 1/3 of the circle, and 1/3 of the circumference. \n" ); document.write( "The total circumference = 42pi = 2pi*r \n" ); document.write( "r = 42pi/2pi \n" ); document.write( "r = 21 units \n" ); document.write( " |