document.write( "Question 957842: Convert 52° to radians,leaving your answer in term of pai(22/7).use your answer to find the area of sector of a circle of radius 16cm and angle 52°,giving your answer correct to two significant figures. \n" ); document.write( "
Algebra.Com's Answer #585348 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Convert 52° to radians,leaving your answer in term of pai(22/7)
\n" ); document.write( "In terms of pi, not 22/7:
\n" ); document.write( "52 degs = 52*pi/180 = 13pi/45 radians.
\n" ); document.write( "-----------------
\n" ); document.write( "use your answer to find the area of sector of a circle of radius 16cm and angle 52°,giving your answer correct to two significant figures.
\n" ); document.write( "Area = pi*r^2*(52/360)
\n" ); document.write( "=~ 116.17 sq cm
\n" ); document.write( "======================
\n" ); document.write( "Using radians:
\n" ); document.write( "Area = pi*r^2*(13pi/45)/2pi
\n" ); document.write( "= r^2*angle/2
\n" ); document.write( "= 128*(13pi/45)
\n" ); document.write( "= same answer.
\n" ); document.write( "========================
\n" ); document.write( "If you have the angle in radians, eg, 3 radians,
\n" ); document.write( "Area = r^2*3/2, slightly simpler than in degrees.
\n" ); document.write( "
\n" ); document.write( "
\n" );