16 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?  Choose the correct choice from the following answers
A) 2√2
B) 4
C) 5
D) 4√2
E) none of these
Area of Sector, A = x/360*pi*r^2   Circumference of the sector = 16   =&gt; x/360*2*pi*r +2r= 16   =&gt; 2A/r+2r=16   =&gt; A=(r16- 2r^2)/2   = r8-r^2   We will now max using derivations   Max value of A will found at A=0   i.e 8-2r=0   r=4   4
<result>B</result>
16 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?