document.write( "Question 380947: PLS. HELP ME SOLVE THIS PROBLEM. TNX
\n" ); document.write( "PROB. 1 IN A CIRCLE OF RADIUS 6 INCHES, THE LENGTH OF THE ARC OF A SECTOR IS 6PIE INCHES. WHAT IS THE AREA OF THE SECTOR?\r
\n" ); document.write( "\n" ); document.write( "PROB. 2. FIND THE CENTRAL ANGLE OF A CIRCLE WHICH INTERCEPTS AN ARC 80PIE CENTIMETER WITH THE RADIUS OF THE CIRCLE IS 20 CENTIMETER.
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Algebra.Com's Answer #270308 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
I believe I answered the first part of your question.
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\n" ); document.write( "You should already have the answer for that part.\r
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\n" ); document.write( "\n" ); document.write( "The second part of your question is:
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\n" ); document.write( "\n" ); document.write( "FIND THE CENTRAL ANGLE OF A CIRCLE WHICH INTERCEPTS AN ARC 80PIE CENTIMETER WITH THE RADIUS OF THE CIRCLE IS 20 CENTIMETER.\r
\n" ); document.write( "\n" ); document.write( "The general formula for determining the length of an arc is:\r
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\n" ); document.write( "\n" ); document.write( "L = x/360 * C\r
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\n" ); document.write( "\n" ); document.write( "L equals the length of the arc.
\n" ); document.write( "x = the number of degrees of the arc
\n" ); document.write( "C = the circumference of the circle from where the arc was drawn.\r
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\n" ); document.write( "\n" ); document.write( "C = 2 * pi * r\r
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\n" ); document.write( "\n" ); document.write( "r = the radius of the circle.\r
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\n" ); document.write( "\n" ); document.write( "C is also equal to the length of an arc of 360 degrees.\r
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\n" ); document.write( "\n" ); document.write( "In your problem, you are given that the radius of the circle from which the arc as drawn is equal to 20 centimeters.\r
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\n" ); document.write( "\n" ); document.write( "This makes the circumference of that circle equal to 2 * pi * 20 = 40 * pi.\r
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\n" ); document.write( "\n" ); document.write( "Your formula for the length of the arc becomes:\r
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\n" ); document.write( "\n" ); document.write( "L = x/360 * 40 * pi\r
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\n" ); document.write( "\n" ); document.write( "You know the length of your arc.\r
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\n" ); document.write( "\n" ); document.write( "That is given as 80 * pi.\r
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\n" ); document.write( "\n" ); document.write( "Your formula becomes:\r
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\n" ); document.write( "\n" ); document.write( "80 * pi = x/360 * (40 * pi)\r
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\n" ); document.write( "\n" ); document.write( "Divide both sides of this equation by (40 * pi) and you get:\r
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\n" ); document.write( "\n" ); document.write( "(80 * pi) / (40 * pi) = x/360\r
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\n" ); document.write( "\n" ); document.write( "This becomes:\r
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\n" ); document.write( "\n" ); document.write( "2 = x / 360\r
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\n" ); document.write( "\n" ); document.write( "Multiply both sides of this equation by 360 and you get:\r
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\n" ); document.write( "\n" ); document.write( "x = 720 degrees.\r
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\n" ); document.write( "\n" ); document.write( "That's your answer.\r
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