document.write( "Question 907364: Helppp...
\n" ); document.write( "A circular pizza of radius 12 cm is cut into equal wedge-shaped slices and the angle at the point of each pizza s 40.
\n" ); document.write( "Calculate :
\n" ); document.write( "(a) how many slices of pizza are obtained?
\n" ); document.write( "(b) the area of each slice of pizza.
\n" ); document.write( "(c) the length of the crust in each slice.
\n" ); document.write( "

Algebra.Com's Answer #550275 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
The entire area of the pie is
\n" ); document.write( "\"A=pi%2AR%5E2=pi%2812%5E2%29=144pi\"\"cm%5E2\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "a) Each slice is 40 degrees, the entire pie is 360 degrees, so,
\n" ); document.write( "\"N=360%2F40=9\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "b) Each slice is 1/9 the total area,
\n" ); document.write( "\"A%5Bs%5D=A%2F9=%28144pi%29%2F9=16pi\"
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "c) The arc length of a circular sector is,
\n" ); document.write( "\"S=R%2Atheta\"
\n" ); document.write( "where \"theta\" is in radians.
\n" ); document.write( "There are \"2pi\" radians in 360 degrees so,
\n" ); document.write( "\"theta=40%2A%28%282pi%29%2F360%29\"
\n" ); document.write( "\"theta=%282%2F9%29pi\"
\n" ); document.write( "So,
\n" ); document.write( "\"S=12%2A%282%2F9%29pi\"
\n" ); document.write( "\"S=%288%2F3%29pi\"\"cm\"
\n" ); document.write( "
\n" ); document.write( "
\n" );