document.write( "Question 631700: Hi. I really can't understand this thing. It says \"Find the area of each sector. Round your answers to the nearest tenth\" The given is 'r = 10 mi, (theta) = pi/2' It's question number 9 in my homework. Please help me, thank you so much! I need a reply ASAP. \n" ); document.write( "

Algebra.Com's Answer #397763 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!
'r = 10 mi, (theta) = pi/2'
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document.write( "What this means is that we started with a circle of radius 10\r\n" );
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document.write( "Now we cut out a \"piece of pie\" having an angle of  radians.\r\n" );
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document.write( "[How much is  radians when converted to degrees? Answer: 90°]\r\n" );
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document.write( "So we will cut out a piece of pie with a right angle.  That of course\r\n" );
document.write( "amounts to taking th of the circle:\r\n" );
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document.write( "The area of the whole circle is given by\r\n" );
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document.write( "              A = r²\r\n" );
document.write( "              A = (10)²\r\n" );
document.write( "              A = 100\r\n" );
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document.write( "So  of 100 is 25 = 25(3.1416) = 78.54 rounded to \r\n" );
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document.write( "78.5\r\n" );
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document.write( "However your teacher may have expected you to use the formula for the\r\n" );
document.write( "area of a sector of a circle (\"piece of pie\"):\r\n" );
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document.write( "             A = \r\n" );
document.write( "             A = \r\n" );
document.write( "             A = *100\r\n" );
document.write( "             A = 25\r\n" );
document.write( "             A = 25(3.1416) = 78.54 rounded to 78.5\r\n" );
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document.write( "Do it whichever way you were taught.\r\n" );
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document.write( "Edwin

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