document.write( "Question 312031: A circle has an area of 25 pi and is divided into 8 congruent regions. What is the perimeter of one of these regions?
\n" ); document.write( "a) 10 - 25pi
\n" ); document.write( "b) 10 + 5/8pi
\n" ); document.write( "c) 10 + 5/4pi
\n" ); document.write( "d) 10 + 5pi
\n" ); document.write( "e) 10 + 25pi\r
\n" ); document.write( "\n" ); document.write( "If possible can you please explain how you came up with the answer?
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Algebra.Com's Answer #223099 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
The perimeter of the region is made up of the circular portion plus two radii (think of a pie piece). You can calculate the circular portion because you know for the whole circle that the entire circular portion would be the circumference.
\n" ); document.write( "\"C=2%2Api%2AR\"
\n" ); document.write( "If the circle is divided into 8 parts, then the circular portion of the perimeter of each pie slice would be \"%281%2F8%29C=%28pi%2F4%29R\"
\n" ); document.write( "Then adding the two radii, the perimeter would be,
\n" ); document.write( "\"P=2R%2B%28pi%2F4%29R\".
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\n" ); document.write( "Now finding R.
\n" ); document.write( "You know the area of the circle, the equation for the area is,
\n" ); document.write( "\"A=pi%2AR%5E2=25%2Api\"
\n" ); document.write( "\"R%5E2=25\"
\n" ); document.write( "\"R=5\"
\n" ); document.write( "Now go back and plug this value into the perimeter equation,
\n" ); document.write( "\"P=2R%2B%28pi%2F4%29R\"
\n" ); document.write( "\"P=2%285%29%2B%28pi%2F4%29%285%29\"
\n" ); document.write( "\"highlight_green%28P=10%2B%285%2F4%29%2Api%29\"\r
\n" ); document.write( "\n" ); document.write( "c) is the correct answer.
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