document.write( "Question 1127681: Suppose an angle has a measure of 110 degrees. \r
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document.write( "a. If a circle is centered at the vertex of the angle, then the arc subtended by the angle's rays is ______________ times as long as 1/360th of the circumference of the circle.\r
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document.write( "b. A circle is centered at the vertex of the angle, and 1/360th of the circumference is 0.07 cm long. What is the length of the arc subtended by the angle's rays?
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document.write( "______cm\r
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document.write( "c. Another circle is centered at the vertex of the angle. The arc subtended by the angle's rays is 44 cm long.\r
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document.write( "-1/360th of the circumference of the circle is _________ cm long.\r
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document.write( "-Therefore the circumference of the circle is__________cm.\r
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Algebra.Com's Answer #744156 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Suppose an angle has a measure of 110 degrees. \n" ); document.write( "110 degress = (pi/180)110 = 0.61radians \n" ); document.write( "1 degree = (pi/180) = 0.017 radians \n" ); document.write( "---- \n" ); document.write( "a. If a circle is centered at the vertex of the angle, then the arc subtended by the angle's rays is 0.61/0.017 = 34.95 times as long as 1/360th of the circumference of the circle. \n" ); document.write( "---------- \n" ); document.write( "b. A circle is centered at the vertex of the angle, and 1/360th of the circumference is 0.07 cm long. What is the length of the arc subtended by the angle's rays? \n" ); document.write( "34.95*0.07 cm = 2.6465 cm \n" ); document.write( "------------- \n" ); document.write( "c. Another circle is centered at the vertex of the angle. The arc subtended by the angle's rays is 44 cm long. \n" ); document.write( " \n" ); document.write( "-1/360th of the circumference of the circle is 44/34.95 = 1.2589 cm long. \n" ); document.write( "-Therefore the circumference of the circle is 360*1.2589 = 453.22 cm. \n" ); document.write( "----- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------- \n" ); document.write( " |