Twenty four 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?	Select the correct option: A) 2√2 B) 2√5 C) 6 D) 4√2 E) none of these
Area of Sector, A = x/360*pi*r^2   6ircumference of the sector = 24   =&gt; x/360*2*pi*r +2r= 24   =&gt; 2A/r+2r=24   =&gt; A= r12-r^2   = r12-r^2   We will now max using derivations   Max value of A will found at A=0   i.e 12-2r=0   r=6   6
<result>C</result>
Twenty four 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?