32 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?  Pick:
A) 2√2  B) 2√5  C) 5  D) 4√2  E) 8
Area of Sector, A = x/360*pi*r^2   Circumference of the sector = 32   =&gt; x/360*2*pi*r +2r= 32   =&gt; 2A/r+2r=32   =&gt; A= r16-r^2   = r16-r^2   We will now max using derivations   Max value of A will found at A=0   i.e 16-2r=0   r=8   8
<result>E</result>
32 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?